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Finding the Fourth Proportional to 209,365.68, 314,001.30 and 59,602.64

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Solution

The fourth proportional to 209,365.68, 314,001.30 and 59,602.64 is: 89,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,365.68 : 314,001.30 = 59,602.64 : x
  2. Step 2: Convert to fraction form
    209,365.68/314,001.30 = 59,602.64/x
  3. Step 3: Cross multiply
    209,365.68x = 314,001.30 × 59,602.64
  4. Step 4: Simplify right side
    209,365.68x = 18,715,306,443.43
  5. Step 5: Solve for x
    x = 18,715,306,443.43/209,365.68
  6. Step 6: Final answer
    x = 89,390.52

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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.