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Finding the Fourth Proportional to 287,045.96, 430,535.10 and 76,700.12

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Solution

The fourth proportional to 287,045.96, 430,535.10 and 76,700.12 is: 115,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,045.96 : 430,535.10 = 76,700.12 : x
  2. Step 2: Convert to fraction form
    287,045.96/430,535.10 = 76,700.12/x
  3. Step 3: Cross multiply
    287,045.96x = 430,535.10 × 76,700.12
  4. Step 4: Simplify right side
    287,045.96x = 33,022,093,834.21
  5. Step 5: Solve for x
    x = 33,022,093,834.21/287,045.96
  6. Step 6: Final answer
    x = 115,041.14

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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.