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Finding the Fourth Proportional to 207,888, 286,886.24 and 116,011.20

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Solution

The fourth proportional to 207,888, 286,886.24 and 116,011.20 is: 160,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,888 : 286,886.24 = 116,011.20 : x
  2. Step 2: Convert to fraction form
    207,888/286,886.24 = 116,011.20/x
  3. Step 3: Cross multiply
    207,888x = 286,886.24 × 116,011.20
  4. Step 4: Simplify right side
    207,888x = 33,282,016,965.89
  5. Step 5: Solve for x
    x = 33,282,016,965.89/207,888
  6. Step 6: Final answer
    x = 160,095.90

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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.