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Finding the Fourth Proportional to 357,098.01, 535,678.46 and 132,460.84

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Solution

The fourth proportional to 357,098.01, 535,678.46 and 132,460.84 is: 198,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,098.01 : 535,678.46 = 132,460.84 : x
  2. Step 2: Convert to fraction form
    357,098.01/535,678.46 = 132,460.84/x
  3. Step 3: Cross multiply
    357,098.01x = 535,678.46 × 132,460.84
  4. Step 4: Simplify right side
    357,098.01x = 70,956,418,781.51
  5. Step 5: Solve for x
    x = 70,956,418,781.51/357,098.01
  6. Step 6: Final answer
    x = 198,702.93

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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.