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Finding the Fourth Proportional to 176,056, 242,957.68 and 100,604.32

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Solution

The fourth proportional to 176,056, 242,957.68 and 100,604.32 is: 138,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,056 : 242,957.68 = 100,604.32 : x
  2. Step 2: Convert to fraction form
    176,056/242,957.68 = 100,604.32/x
  3. Step 3: Cross multiply
    176,056x = 242,957.68 × 100,604.32
  4. Step 4: Simplify right side
    176,056x = 24,442,592,185.18
  5. Step 5: Solve for x
    x = 24,442,592,185.18/176,056
  6. Step 6: Final answer
    x = 138,834.19

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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.