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Finding the Fourth Proportional to 209,206.46, 288,706.66 and 113,713.14

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Solution

The fourth proportional to 209,206.46, 288,706.66 and 113,713.14 is: 156,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,206.46 : 288,706.66 = 113,713.14 : x
  2. Step 2: Convert to fraction form
    209,206.46/288,706.66 = 113,713.14/x
  3. Step 3: Cross multiply
    209,206.46x = 288,706.66 × 113,713.14
  4. Step 4: Simplify right side
    209,206.46x = 32,829,740,847.51
  5. Step 5: Solve for x
    x = 32,829,740,847.51/209,206.46
  6. Step 6: Final answer
    x = 156,925.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.