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Finding the Fourth Proportional to 97,881.60, 146,822.40 and 92,438.40

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Solution

The fourth proportional to 97,881.60, 146,822.40 and 92,438.40 is: 138,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.60 : 146,822.40 = 92,438.40 : x
  2. Step 2: Convert to fraction form
    97,881.60/146,822.40 = 92,438.40/x
  3. Step 3: Cross multiply
    97,881.60x = 146,822.40 × 92,438.40
  4. Step 4: Simplify right side
    97,881.60x = 13,572,027,740.16
  5. Step 5: Solve for x
    x = 13,572,027,740.16/97,881.60
  6. Step 6: Final answer
    x = 138,657.60

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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.