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Finding the Fourth Proportional to 152,693.60, 229,040.40 and 64,047.20

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Solution

The fourth proportional to 152,693.60, 229,040.40 and 64,047.20 is: 96,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,693.60 : 229,040.40 = 64,047.20 : x
  2. Step 2: Convert to fraction form
    152,693.60/229,040.40 = 64,047.20/x
  3. Step 3: Cross multiply
    152,693.60x = 229,040.40 × 64,047.20
  4. Step 4: Simplify right side
    152,693.60x = 14,669,396,306.88
  5. Step 5: Solve for x
    x = 14,669,396,306.88/152,693.60
  6. Step 6: Final answer
    x = 96,070.80

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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.