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Finding the Fourth Proportional to 118,106.76, 177,129.88 and 34,981.32

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Solution

The fourth proportional to 118,106.76, 177,129.88 and 34,981.32 is: 52,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,106.76 : 177,129.88 = 34,981.32 : x
  2. Step 2: Convert to fraction form
    118,106.76/177,129.88 = 34,981.32/x
  3. Step 3: Cross multiply
    118,106.76x = 177,129.88 × 34,981.32
  4. Step 4: Simplify right side
    118,106.76x = 6,196,237,013.84
  5. Step 5: Solve for x
    x = 6,196,237,013.84/118,106.76
  6. Step 6: Final answer
    x = 52,463.02

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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.