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Finding the Fourth Proportional to 96,668.16, 144,960 and 57,304.32

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Solution

The fourth proportional to 96,668.16, 144,960 and 57,304.32 is: 85,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,668.16 : 144,960 = 57,304.32 : x
  2. Step 2: Convert to fraction form
    96,668.16/144,960 = 57,304.32/x
  3. Step 3: Cross multiply
    96,668.16x = 144,960 × 57,304.32
  4. Step 4: Simplify right side
    96,668.16x = 8,306,834,227.20
  5. Step 5: Solve for x
    x = 8,306,834,227.20/96,668.16
  6. Step 6: Final answer
    x = 85,931.44

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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.