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Finding the Fourth Proportional to 282,765.47, 424,036.62 and 114,254.01

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Solution

The fourth proportional to 282,765.47, 424,036.62 and 114,254.01 is: 171,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,765.47 : 424,036.62 = 114,254.01 : x
  2. Step 2: Convert to fraction form
    282,765.47/424,036.62 = 114,254.01/x
  3. Step 3: Cross multiply
    282,765.47x = 424,036.62 × 114,254.01
  4. Step 4: Simplify right side
    282,765.47x = 48,447,884,221.85
  5. Step 5: Solve for x
    x = 48,447,884,221.85/282,765.47
  6. Step 6: Final answer
    x = 171,335.93

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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.