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Finding the Fourth Proportional to 309,098.88, 463,674.24 and 98,732.16

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Solution

The fourth proportional to 309,098.88, 463,674.24 and 98,732.16 is: 148,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,098.88 : 463,674.24 = 98,732.16 : x
  2. Step 2: Convert to fraction form
    309,098.88/463,674.24 = 98,732.16/x
  3. Step 3: Cross multiply
    309,098.88x = 463,674.24 × 98,732.16
  4. Step 4: Simplify right side
    309,098.88x = 45,779,559,251.56
  5. Step 5: Solve for x
    x = 45,779,559,251.56/309,098.88
  6. Step 6: Final answer
    x = 148,106.52

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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.