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Finding the Fourth Proportional to 102,210.60, 141,050.42 and 57,498.60

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Solution

The fourth proportional to 102,210.60, 141,050.42 and 57,498.60 is: 79,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,210.60 : 141,050.42 = 57,498.60 : x
  2. Step 2: Convert to fraction form
    102,210.60/141,050.42 = 57,498.60/x
  3. Step 3: Cross multiply
    102,210.60x = 141,050.42 × 57,498.60
  4. Step 4: Simplify right side
    102,210.60x = 8,110,201,679.41
  5. Step 5: Solve for x
    x = 8,110,201,679.41/102,210.60
  6. Step 6: Final answer
    x = 79,347.95

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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.