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Finding the Fourth Proportional to 229,813.92, 317,013.64 and 137,909.40

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Solution

The fourth proportional to 229,813.92, 317,013.64 and 137,909.40 is: 190,237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,813.92 : 317,013.64 = 137,909.40 : x
  2. Step 2: Convert to fraction form
    229,813.92/317,013.64 = 137,909.40/x
  3. Step 3: Cross multiply
    229,813.92x = 317,013.64 × 137,909.40
  4. Step 4: Simplify right side
    229,813.92x = 43,719,160,884.22
  5. Step 5: Solve for x
    x = 43,719,160,884.22/229,813.92
  6. Step 6: Final answer
    x = 190,237.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.