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Finding the Fourth Proportional to 110,357.18, 152,282.37 and 61,948.02

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Solution

The fourth proportional to 110,357.18, 152,282.37 and 61,948.02 is: 85,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357.18 : 152,282.37 = 61,948.02 : x
  2. Step 2: Convert to fraction form
    110,357.18/152,282.37 = 61,948.02/x
  3. Step 3: Cross multiply
    110,357.18x = 152,282.37 × 61,948.02
  4. Step 4: Simplify right side
    110,357.18x = 9,433,591,302.41
  5. Step 5: Solve for x
    x = 9,433,591,302.41/110,357.18
  6. Step 6: Final answer
    x = 85,482.35

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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.