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Finding the Fourth Proportional to 176,065, 242,970.10 and 100,613.32

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Solution

The fourth proportional to 176,065, 242,970.10 and 100,613.32 is: 138,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,065 : 242,970.10 = 100,613.32 : x
  2. Step 2: Convert to fraction form
    176,065/242,970.10 = 100,613.32/x
  3. Step 3: Cross multiply
    176,065x = 242,970.10 × 100,613.32
  4. Step 4: Simplify right side
    176,065x = 24,446,028,421.73
  5. Step 5: Solve for x
    x = 24,446,028,421.73/176,065
  6. Step 6: Final answer
    x = 138,846.61

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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.