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Finding the Fourth Proportional to 121,421.40, 182,132.10 and 105,869.40

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Solution

The fourth proportional to 121,421.40, 182,132.10 and 105,869.40 is: 158,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,421.40 : 182,132.10 = 105,869.40 : x
  2. Step 2: Convert to fraction form
    121,421.40/182,132.10 = 105,869.40/x
  3. Step 3: Cross multiply
    121,421.40x = 182,132.10 × 105,869.40
  4. Step 4: Simplify right side
    121,421.40x = 19,282,216,147.74
  5. Step 5: Solve for x
    x = 19,282,216,147.74/121,421.40
  6. Step 6: Final answer
    x = 158,804.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.