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Finding the Fourth Proportional to 200,933.40, 301,140.90 and 153,953.40

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Solution

The fourth proportional to 200,933.40, 301,140.90 and 153,953.40 is: 230,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,933.40 : 301,140.90 = 153,953.40 : x
  2. Step 2: Convert to fraction form
    200,933.40/301,140.90 = 153,953.40/x
  3. Step 3: Cross multiply
    200,933.40x = 301,140.90 × 153,953.40
  4. Step 4: Simplify right side
    200,933.40x = 46,361,665,434.06
  5. Step 5: Solve for x
    x = 46,361,665,434.06/200,933.40
  6. Step 6: Final answer
    x = 230,731.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.