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Finding the Fourth Proportional to 153,766.95, 230,666.81 and 65,029.42

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Solution

The fourth proportional to 153,766.95, 230,666.81 and 65,029.42 is: 97,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,766.95 : 230,666.81 = 65,029.42 : x
  2. Step 2: Convert to fraction form
    153,766.95/230,666.81 = 65,029.42/x
  3. Step 3: Cross multiply
    153,766.95x = 230,666.81 × 65,029.42
  4. Step 4: Simplify right side
    153,766.95x = 15,000,128,867.55
  5. Step 5: Solve for x
    x = 15,000,128,867.55/153,766.95
  6. Step 6: Final answer
    x = 97,551.06

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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.