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Finding the Fourth Proportional to 164,678.96, 247,349.10 and 98,248.88

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Solution

The fourth proportional to 164,678.96, 247,349.10 and 98,248.88 is: 147,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,678.96 : 247,349.10 = 98,248.88 : x
  2. Step 2: Convert to fraction form
    164,678.96/247,349.10 = 98,248.88/x
  3. Step 3: Cross multiply
    164,678.96x = 247,349.10 × 98,248.88
  4. Step 4: Simplify right side
    164,678.96x = 24,301,772,044.01
  5. Step 5: Solve for x
    x = 24,301,772,044.01/164,678.96
  6. Step 6: Final answer
    x = 147,570.59

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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.