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Finding the Fourth Proportional to 207,953.60, 311,776.80 and 83,230.40

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Solution

The fourth proportional to 207,953.60, 311,776.80 and 83,230.40 is: 124,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,953.60 : 311,776.80 = 83,230.40 : x
  2. Step 2: Convert to fraction form
    207,953.60/311,776.80 = 83,230.40/x
  3. Step 3: Cross multiply
    207,953.60x = 311,776.80 × 83,230.40
  4. Step 4: Simplify right side
    207,953.60x = 25,949,307,774.72
  5. Step 5: Solve for x
    x = 25,949,307,774.72/207,953.60
  6. Step 6: Final answer
    x = 124,784.12

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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.