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Finding the Fourth Proportional to 119,210.95, 164,442.68 and 74,421.19

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Solution

The fourth proportional to 119,210.95, 164,442.68 and 74,421.19 is: 102,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,210.95 : 164,442.68 = 74,421.19 : x
  2. Step 2: Convert to fraction form
    119,210.95/164,442.68 = 74,421.19/x
  3. Step 3: Cross multiply
    119,210.95x = 164,442.68 × 74,421.19
  4. Step 4: Simplify right side
    119,210.95x = 12,238,019,149.18
  5. Step 5: Solve for x
    x = 12,238,019,149.18/119,210.95
  6. Step 6: Final answer
    x = 102,658.52

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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.