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Finding the Fourth Proportional to 98,189.60, 146,938.80 and 89,895.20

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Solution

The fourth proportional to 98,189.60, 146,938.80 and 89,895.20 is: 134,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189.60 : 146,938.80 = 89,895.20 : x
  2. Step 2: Convert to fraction form
    98,189.60/146,938.80 = 89,895.20/x
  3. Step 3: Cross multiply
    98,189.60x = 146,938.80 × 89,895.20
  4. Step 4: Simplify right side
    98,189.60x = 13,209,092,813.76
  5. Step 5: Solve for x
    x = 13,209,092,813.76/98,189.60
  6. Step 6: Final answer
    x = 134,526.39

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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.