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Finding the Fourth Proportional to 363,985.56, 546,052.14 and 139,353.30

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Solution

The fourth proportional to 363,985.56, 546,052.14 and 139,353.30 is: 209,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,985.56 : 546,052.14 = 139,353.30 : x
  2. Step 2: Convert to fraction form
    363,985.56/546,052.14 = 139,353.30/x
  3. Step 3: Cross multiply
    363,985.56x = 546,052.14 × 139,353.30
  4. Step 4: Simplify right side
    363,985.56x = 76,094,167,681.06
  5. Step 5: Solve for x
    x = 76,094,167,681.06/363,985.56
  6. Step 6: Final answer
    x = 209,058.20

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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.