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Finding the Fourth Proportional to 153,499, 230,261.46 and 42,691

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Solution

The fourth proportional to 153,499, 230,261.46 and 42,691 is: 64,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,499 : 230,261.46 = 42,691 : x
  2. Step 2: Convert to fraction form
    153,499/230,261.46 = 42,691/x
  3. Step 3: Cross multiply
    153,499x = 230,261.46 × 42,691
  4. Step 4: Simplify right side
    153,499x = 9,830,091,988.86
  5. Step 5: Solve for x
    x = 9,830,091,988.86/153,499
  6. Step 6: Final answer
    x = 64,040.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.