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Finding the Fourth Proportional to 288,098.04, 432,147.05 and 77,735.97

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Solution

The fourth proportional to 288,098.04, 432,147.05 and 77,735.97 is: 116,603.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,098.04 : 432,147.05 = 77,735.97 : x
  2. Step 2: Convert to fraction form
    288,098.04/432,147.05 = 77,735.97/x
  3. Step 3: Cross multiply
    288,098.04x = 432,147.05 × 77,735.97
  4. Step 4: Simplify right side
    288,098.04x = 33,593,370,114.39
  5. Step 5: Solve for x
    x = 33,593,370,114.39/288,098.04
  6. Step 6: Final answer
    x = 116,603.95

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1.5x scale

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.