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Finding the Fourth Proportional to 219,158.94, 328,463.98 and 117,707.68

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Solution

The fourth proportional to 219,158.94, 328,463.98 and 117,707.68 is: 176,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,158.94 : 328,463.98 = 117,707.68 : x
  2. Step 2: Convert to fraction form
    219,158.94/328,463.98 = 117,707.68/x
  3. Step 3: Cross multiply
    219,158.94x = 328,463.98 × 117,707.68
  4. Step 4: Simplify right side
    219,158.94x = 38,662,732,228.21
  5. Step 5: Solve for x
    x = 38,662,732,228.21/219,158.94
  6. Step 6: Final answer
    x = 176,414.13

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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.