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Finding the Fourth Proportional to 242,561.76, 363,911.76 and 176,068.32

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Solution

The fourth proportional to 242,561.76, 363,911.76 and 176,068.32 is: 264,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,561.76 : 363,911.76 = 176,068.32 : x
  2. Step 2: Convert to fraction form
    242,561.76/363,911.76 = 176,068.32/x
  3. Step 3: Cross multiply
    242,561.76x = 363,911.76 × 176,068.32
  4. Step 4: Simplify right side
    242,561.76x = 64,073,332,211.44
  5. Step 5: Solve for x
    x = 64,073,332,211.44/242,561.76
  6. Step 6: Final answer
    x = 264,152.65

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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.