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Finding the Fourth Proportional to 202,281.68, 279,139.25 and 116,180.10

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Solution

The fourth proportional to 202,281.68, 279,139.25 and 116,180.10 is: 160,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,281.68 : 279,139.25 = 116,180.10 : x
  2. Step 2: Convert to fraction form
    202,281.68/279,139.25 = 116,180.10/x
  3. Step 3: Cross multiply
    202,281.68x = 279,139.25 × 116,180.10
  4. Step 4: Simplify right side
    202,281.68x = 32,430,426,269.38
  5. Step 5: Solve for x
    x = 32,430,426,269.38/202,281.68
  6. Step 6: Final answer
    x = 160,323.10

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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.