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Finding the Fourth Proportional to 158,609.80, 237,713.10 and 65,009.80

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Solution

The fourth proportional to 158,609.80, 237,713.10 and 65,009.80 is: 97,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,609.80 : 237,713.10 = 65,009.80 : x
  2. Step 2: Convert to fraction form
    158,609.80/237,713.10 = 65,009.80/x
  3. Step 3: Cross multiply
    158,609.80x = 237,713.10 × 65,009.80
  4. Step 4: Simplify right side
    158,609.80x = 15,453,681,088.38
  5. Step 5: Solve for x
    x = 15,453,681,088.38/158,609.80
  6. Step 6: Final answer
    x = 97,432.07

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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.