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Finding the Fourth Proportional to 294,856.02, 442,157.67 and 137,068.02

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Solution

The fourth proportional to 294,856.02, 442,157.67 and 137,068.02 is: 205,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,856.02 : 442,157.67 = 137,068.02 : x
  2. Step 2: Convert to fraction form
    294,856.02/442,157.67 = 137,068.02/x
  3. Step 3: Cross multiply
    294,856.02x = 442,157.67 × 137,068.02
  4. Step 4: Simplify right side
    294,856.02x = 60,605,676,354.71
  5. Step 5: Solve for x
    x = 60,605,676,354.71/294,856.02
  6. Step 6: Final answer
    x = 205,543.29

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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.