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Finding the Fourth Proportional to 207,870.84, 286,870.14 and 115,998.17

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Solution

The fourth proportional to 207,870.84, 286,870.14 and 115,998.17 is: 160,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,870.84 : 286,870.14 = 115,998.17 : x
  2. Step 2: Convert to fraction form
    207,870.84/286,870.14 = 115,998.17/x
  3. Step 3: Cross multiply
    207,870.84x = 286,870.14 × 115,998.17
  4. Step 4: Simplify right side
    207,870.84x = 33,276,409,833.29
  5. Step 5: Solve for x
    x = 33,276,409,833.29/207,870.84
  6. Step 6: Final answer
    x = 160,082.14

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1.5x scale

Why These Related Problems?

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