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Finding the Fourth Proportional to 261,221.47, 360,485.31 and 152,330.20

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Solution

The fourth proportional to 261,221.47, 360,485.31 and 152,330.20 is: 210,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,221.47 : 360,485.31 = 152,330.20 : x
  2. Step 2: Convert to fraction form
    261,221.47/360,485.31 = 152,330.20/x
  3. Step 3: Cross multiply
    261,221.47x = 360,485.31 × 152,330.20
  4. Step 4: Simplify right side
    261,221.47x = 54,912,799,369.36
  5. Step 5: Solve for x
    x = 54,912,799,369.36/261,221.47
  6. Step 6: Final answer
    x = 210,215.49

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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.