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Finding the Fourth Proportional to 204,897.60, 307,341 and 86,537.16

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Solution

The fourth proportional to 204,897.60, 307,341 and 86,537.16 is: 129,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,897.60 : 307,341 = 86,537.16 : x
  2. Step 2: Convert to fraction form
    204,897.60/307,341 = 86,537.16/x
  3. Step 3: Cross multiply
    204,897.60x = 307,341 × 86,537.16
  4. Step 4: Simplify right side
    204,897.60x = 26,596,417,291.56
  5. Step 5: Solve for x
    x = 26,596,417,291.56/204,897.60
  6. Step 6: Final answer
    x = 129,803.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.