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Finding the Fourth Proportional to 207,411.03, 286,210.87 and 116,748.95

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Solution

The fourth proportional to 207,411.03, 286,210.87 and 116,748.95 is: 161,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,411.03 : 286,210.87 = 116,748.95 : x
  2. Step 2: Convert to fraction form
    207,411.03/286,210.87 = 116,748.95/x
  3. Step 3: Cross multiply
    207,411.03x = 286,210.87 × 116,748.95
  4. Step 4: Simplify right side
    207,411.03x = 33,414,816,828.16
  5. Step 5: Solve for x
    x = 33,414,816,828.16/207,411.03
  6. Step 6: Final answer
    x = 161,104.34

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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.