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Finding the Fourth Proportional to 207,454, 286,269.50 and 116,780.98

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Solution

The fourth proportional to 207,454, 286,269.50 and 116,780.98 is: 161,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,454 : 286,269.50 = 116,780.98 : x
  2. Step 2: Convert to fraction form
    207,454/286,269.50 = 116,780.98/x
  3. Step 3: Cross multiply
    207,454x = 286,269.50 × 116,780.98
  4. Step 4: Simplify right side
    207,454x = 33,430,832,754.11
  5. Step 5: Solve for x
    x = 33,430,832,754.11/207,454
  6. Step 6: Final answer
    x = 161,148.17

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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.