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Finding the Fourth Proportional to 102,544.30, 153,595.02 and 100,034.72

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Solution

The fourth proportional to 102,544.30, 153,595.02 and 100,034.72 is: 149,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,544.30 : 153,595.02 = 100,034.72 : x
  2. Step 2: Convert to fraction form
    102,544.30/153,595.02 = 100,034.72/x
  3. Step 3: Cross multiply
    102,544.30x = 153,595.02 × 100,034.72
  4. Step 4: Simplify right side
    102,544.30x = 15,364,834,871.52
  5. Step 5: Solve for x
    x = 15,364,834,871.52/102,544.30
  6. Step 6: Final answer
    x = 149,836.06

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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.