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Finding the Fourth Proportional to 176,040.36, 242,931.42 and 100,584

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Solution

The fourth proportional to 176,040.36, 242,931.42 and 100,584 is: 138,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,040.36 : 242,931.42 = 100,584 : x
  2. Step 2: Convert to fraction form
    176,040.36/242,931.42 = 100,584/x
  3. Step 3: Cross multiply
    176,040.36x = 242,931.42 × 100,584
  4. Step 4: Simplify right side
    176,040.36x = 24,435,013,949.28
  5. Step 5: Solve for x
    x = 24,435,013,949.28/176,040.36
  6. Step 6: Final answer
    x = 138,803.48

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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.