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Finding the Fourth Proportional to 117,466, 162,237.66 and 77,359

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Solution

The fourth proportional to 117,466, 162,237.66 and 77,359 is: 106,844.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,466 : 162,237.66 = 77,359 : x
  2. Step 2: Convert to fraction form
    117,466/162,237.66 = 77,359/x
  3. Step 3: Cross multiply
    117,466x = 162,237.66 × 77,359
  4. Step 4: Simplify right side
    117,466x = 12,550,543,139.94
  5. Step 5: Solve for x
    x = 12,550,543,139.94/117,466
  6. Step 6: Final answer
    x = 106,844.05

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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.