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Finding the Fourth Proportional to 219,507.32, 329,034.98 and 86,333.60

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Solution

The fourth proportional to 219,507.32, 329,034.98 and 86,333.60 is: 129,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,507.32 : 329,034.98 = 86,333.60 : x
  2. Step 2: Convert to fraction form
    219,507.32/329,034.98 = 86,333.60/x
  3. Step 3: Cross multiply
    219,507.32x = 329,034.98 × 86,333.60
  4. Step 4: Simplify right side
    219,507.32x = 28,406,774,349.33
  5. Step 5: Solve for x
    x = 28,406,774,349.33/219,507.32
  6. Step 6: Final answer
    x = 129,411.51

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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.