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Finding the Fourth Proportional to 282,603.55, 424,397.40 and 149,743.30

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Solution

The fourth proportional to 282,603.55, 424,397.40 and 149,743.30 is: 224,875.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,603.55 : 424,397.40 = 149,743.30 : x
  2. Step 2: Convert to fraction form
    282,603.55/424,397.40 = 149,743.30/x
  3. Step 3: Cross multiply
    282,603.55x = 424,397.40 × 149,743.30
  4. Step 4: Simplify right side
    282,603.55x = 63,550,667,187.42
  5. Step 5: Solve for x
    x = 63,550,667,187.42/282,603.55
  6. Step 6: Final answer
    x = 224,875.69

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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.