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Finding the Fourth Proportional to 242,115.30, 363,043.35 and 101,715.30

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Solution

The fourth proportional to 242,115.30, 363,043.35 and 101,715.30 is: 152,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,115.30 : 363,043.35 = 101,715.30 : x
  2. Step 2: Convert to fraction form
    242,115.30/363,043.35 = 101,715.30/x
  3. Step 3: Cross multiply
    242,115.30x = 363,043.35 × 101,715.30
  4. Step 4: Simplify right side
    242,115.30x = 36,927,063,258.26
  5. Step 5: Solve for x
    x = 36,927,063,258.26/242,115.30
  6. Step 6: Final answer
    x = 152,518.50

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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.