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Finding the Fourth Proportional to 117,686.40, 176,529.60 and 109,046.40

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Solution

The fourth proportional to 117,686.40, 176,529.60 and 109,046.40 is: 163,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,686.40 : 176,529.60 = 109,046.40 : x
  2. Step 2: Convert to fraction form
    117,686.40/176,529.60 = 109,046.40/x
  3. Step 3: Cross multiply
    117,686.40x = 176,529.60 × 109,046.40
  4. Step 4: Simplify right side
    117,686.40x = 19,249,917,373.44
  5. Step 5: Solve for x
    x = 19,249,917,373.44/117,686.40
  6. Step 6: Final answer
    x = 163,569.60

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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.