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Finding the Fourth Proportional to 98,152.78, 147,036.43 and 64,770.96

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Solution

The fourth proportional to 98,152.78, 147,036.43 and 64,770.96 is: 97,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,152.78 : 147,036.43 = 64,770.96 : x
  2. Step 2: Convert to fraction form
    98,152.78/147,036.43 = 64,770.96/x
  3. Step 3: Cross multiply
    98,152.78x = 147,036.43 × 64,770.96
  4. Step 4: Simplify right side
    98,152.78x = 9,523,690,726.07
  5. Step 5: Solve for x
    x = 9,523,690,726.07/98,152.78
  6. Step 6: Final answer
    x = 97,029.25

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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.