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Finding the Fourth Proportional to 215,039.59, 296,764.76 and 119,547.88

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Solution

The fourth proportional to 215,039.59, 296,764.76 and 119,547.88 is: 164,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,039.59 : 296,764.76 = 119,547.88 : x
  2. Step 2: Convert to fraction form
    215,039.59/296,764.76 = 119,547.88/x
  3. Step 3: Cross multiply
    215,039.59x = 296,764.76 × 119,547.88
  4. Step 4: Simplify right side
    215,039.59x = 35,477,597,916.71
  5. Step 5: Solve for x
    x = 35,477,597,916.71/215,039.59
  6. Step 6: Final answer
    x = 164,981.70

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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.