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Finding the Fourth Proportional to 205,116.62, 307,711.04 and 70,148.96

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Solution

The fourth proportional to 205,116.62, 307,711.04 and 70,148.96 is: 105,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,116.62 : 307,711.04 = 70,148.96 : x
  2. Step 2: Convert to fraction form
    205,116.62/307,711.04 = 70,148.96/x
  3. Step 3: Cross multiply
    205,116.62x = 307,711.04 × 70,148.96
  4. Step 4: Simplify right side
    205,116.62x = 21,585,607,547.22
  5. Step 5: Solve for x
    x = 21,585,607,547.22/205,116.62
  6. Step 6: Final answer
    x = 105,235.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.