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Finding the Fourth Proportional to 207,459.20, 310,411.20 and 137,475.20

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Solution

The fourth proportional to 207,459.20, 310,411.20 and 137,475.20 is: 205,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,459.20 : 310,411.20 = 137,475.20 : x
  2. Step 2: Convert to fraction form
    207,459.20/310,411.20 = 137,475.20/x
  3. Step 3: Cross multiply
    207,459.20x = 310,411.20 × 137,475.20
  4. Step 4: Simplify right side
    207,459.20x = 42,673,841,802.24
  5. Step 5: Solve for x
    x = 42,673,841,802.24/207,459.20
  6. Step 6: Final answer
    x = 205,697.51

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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.