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Finding the Fourth Proportional to 242,558.74, 363,888.51 and 102,318.58

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Solution

The fourth proportional to 242,558.74, 363,888.51 and 102,318.58 is: 153,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,558.74 : 363,888.51 = 102,318.58 : x
  2. Step 2: Convert to fraction form
    242,558.74/363,888.51 = 102,318.58/x
  3. Step 3: Cross multiply
    242,558.74x = 363,888.51 × 102,318.58
  4. Step 4: Simplify right side
    242,558.74x = 37,232,555,621.52
  5. Step 5: Solve for x
    x = 37,232,555,621.52/242,558.74
  6. Step 6: Final answer
    x = 153,499.13

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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.