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Finding the Fourth Proportional to 242,494.16, 334,658.76 and 147,004.88

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Solution

The fourth proportional to 242,494.16, 334,658.76 and 147,004.88 is: 202,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,494.16 : 334,658.76 = 147,004.88 : x
  2. Step 2: Convert to fraction form
    242,494.16/334,658.76 = 147,004.88/x
  3. Step 3: Cross multiply
    242,494.16x = 334,658.76 × 147,004.88
  4. Step 4: Simplify right side
    242,494.16x = 49,196,470,854.75
  5. Step 5: Solve for x
    x = 49,196,470,854.75/242,494.16
  6. Step 6: Final answer
    x = 202,876.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.