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Finding the Fourth Proportional to 261,101.20, 360,437.72 and 164,447.10

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Solution

The fourth proportional to 261,101.20, 360,437.72 and 164,447.10 is: 227,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,101.20 : 360,437.72 = 164,447.10 : x
  2. Step 2: Convert to fraction form
    261,101.20/360,437.72 = 164,447.10/x
  3. Step 3: Cross multiply
    261,101.20x = 360,437.72 × 164,447.10
  4. Step 4: Simplify right side
    261,101.20x = 59,272,937,784.61
  5. Step 5: Solve for x
    x = 59,272,937,784.61/261,101.20
  6. Step 6: Final answer
    x = 227,011.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.