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Finding the Fourth Proportional to 151,775.08, 227,851.25 and 98,292

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Solution

The fourth proportional to 151,775.08, 227,851.25 and 98,292 is: 147,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,775.08 : 227,851.25 = 98,292 : x
  2. Step 2: Convert to fraction form
    151,775.08/227,851.25 = 98,292/x
  3. Step 3: Cross multiply
    151,775.08x = 227,851.25 × 98,292
  4. Step 4: Simplify right side
    151,775.08x = 22,395,955,065
  5. Step 5: Solve for x
    x = 22,395,955,065/151,775.08
  6. Step 6: Final answer
    x = 147,560.16

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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.