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Finding the Fourth Proportional to 213,071.71, 319,750.25 and 88,412.83

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Solution

The fourth proportional to 213,071.71, 319,750.25 and 88,412.83 is: 132,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,071.71 : 319,750.25 = 88,412.83 : x
  2. Step 2: Convert to fraction form
    213,071.71/319,750.25 = 88,412.83/x
  3. Step 3: Cross multiply
    213,071.71x = 319,750.25 × 88,412.83
  4. Step 4: Simplify right side
    213,071.71x = 28,270,024,053.64
  5. Step 5: Solve for x
    x = 28,270,024,053.64/213,071.71
  6. Step 6: Final answer
    x = 132,678.45

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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.