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Finding the Fourth Proportional to 106,196.42, 146,527.52 and 61,458.50

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Solution

The fourth proportional to 106,196.42, 146,527.52 and 61,458.50 is: 84,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,196.42 : 146,527.52 = 61,458.50 : x
  2. Step 2: Convert to fraction form
    106,196.42/146,527.52 = 61,458.50/x
  3. Step 3: Cross multiply
    106,196.42x = 146,527.52 × 61,458.50
  4. Step 4: Simplify right side
    106,196.42x = 9,005,361,587.92
  5. Step 5: Solve for x
    x = 9,005,361,587.92/106,196.42
  6. Step 6: Final answer
    x = 84,799.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.