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Finding the Fourth Proportional to 119,055.91, 164,307.24 and 65,350.02

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Solution

The fourth proportional to 119,055.91, 164,307.24 and 65,350.02 is: 90,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,055.91 : 164,307.24 = 65,350.02 : x
  2. Step 2: Convert to fraction form
    119,055.91/164,307.24 = 65,350.02/x
  3. Step 3: Cross multiply
    119,055.91x = 164,307.24 × 65,350.02
  4. Step 4: Simplify right side
    119,055.91x = 10,737,482,036.30
  5. Step 5: Solve for x
    x = 10,737,482,036.30/119,055.91
  6. Step 6: Final answer
    x = 90,188.57

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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.