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Finding the Fourth Proportional to 153,860.18, 230,814.56 and 65,114.15

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Solution

The fourth proportional to 153,860.18, 230,814.56 and 65,114.15 is: 97,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,860.18 : 230,814.56 = 65,114.15 : x
  2. Step 2: Convert to fraction form
    153,860.18/230,814.56 = 65,114.15/x
  3. Step 3: Cross multiply
    153,860.18x = 230,814.56 × 65,114.15
  4. Step 4: Simplify right side
    153,860.18x = 15,029,292,890.74
  5. Step 5: Solve for x
    x = 15,029,292,890.74/153,860.18
  6. Step 6: Final answer
    x = 97,681.50

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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.