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Finding the Fourth Proportional to 153,642.16, 230,463.24 and 48,469.30

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Solution

The fourth proportional to 153,642.16, 230,463.24 and 48,469.30 is: 72,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,642.16 : 230,463.24 = 48,469.30 : x
  2. Step 2: Convert to fraction form
    153,642.16/230,463.24 = 48,469.30/x
  3. Step 3: Cross multiply
    153,642.16x = 230,463.24 × 48,469.30
  4. Step 4: Simplify right side
    153,642.16x = 11,170,391,918.53
  5. Step 5: Solve for x
    x = 11,170,391,918.53/153,642.16
  6. Step 6: Final answer
    x = 72,703.95

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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.