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Finding the Fourth Proportional to 153,657.52, 230,701.38 and 78,830.44

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Solution

The fourth proportional to 153,657.52, 230,701.38 and 78,830.44 is: 118,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,657.52 : 230,701.38 = 78,830.44 : x
  2. Step 2: Convert to fraction form
    153,657.52/230,701.38 = 78,830.44/x
  3. Step 3: Cross multiply
    153,657.52x = 230,701.38 × 78,830.44
  4. Step 4: Simplify right side
    153,657.52x = 18,186,291,294.01
  5. Step 5: Solve for x
    x = 18,186,291,294.01/153,657.52
  6. Step 6: Final answer
    x = 118,356.01

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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.