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Finding the Fourth Proportional to 242,085.76, 363,076.80 and 101,806.72

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Solution

The fourth proportional to 242,085.76, 363,076.80 and 101,806.72 is: 152,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,085.76 : 363,076.80 = 101,806.72 : x
  2. Step 2: Convert to fraction form
    242,085.76/363,076.80 = 101,806.72/x
  3. Step 3: Cross multiply
    242,085.76x = 363,076.80 × 101,806.72
  4. Step 4: Simplify right side
    242,085.76x = 36,963,658,116.10
  5. Step 5: Solve for x
    x = 36,963,658,116.10/242,085.76
  6. Step 6: Final answer
    x = 152,688.28

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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.