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Finding the Fourth Proportional to 176,736, 243,895.68 and 97,248

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Solution

The fourth proportional to 176,736, 243,895.68 and 97,248 is: 134,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,736 : 243,895.68 = 97,248 : x
  2. Step 2: Convert to fraction form
    176,736/243,895.68 = 97,248/x
  3. Step 3: Cross multiply
    176,736x = 243,895.68 × 97,248
  4. Step 4: Simplify right side
    176,736x = 23,718,367,088.64
  5. Step 5: Solve for x
    x = 23,718,367,088.64/176,736
  6. Step 6: Final answer
    x = 134,202.24

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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.