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Finding the Fourth Proportional to 313,106.58, 469,590.18 and 88,488.02

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Solution

The fourth proportional to 313,106.58, 469,590.18 and 88,488.02 is: 132,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,106.58 : 469,590.18 = 88,488.02 : x
  2. Step 2: Convert to fraction form
    313,106.58/469,590.18 = 88,488.02/x
  3. Step 3: Cross multiply
    313,106.58x = 469,590.18 × 88,488.02
  4. Step 4: Simplify right side
    313,106.58x = 41,553,105,239.64
  5. Step 5: Solve for x
    x = 41,553,105,239.64/313,106.58
  6. Step 6: Final answer
    x = 132,712.33

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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.