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Finding the Fourth Proportional to 119,210.70, 164,442.34 and 74,420.94

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Solution

The fourth proportional to 119,210.70, 164,442.34 and 74,420.94 is: 102,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,210.70 : 164,442.34 = 74,420.94 : x
  2. Step 2: Convert to fraction form
    119,210.70/164,442.34 = 74,420.94/x
  3. Step 3: Cross multiply
    119,210.70x = 164,442.34 × 74,420.94
  4. Step 4: Simplify right side
    119,210.70x = 12,237,953,146.49
  5. Step 5: Solve for x
    x = 12,237,953,146.49/119,210.70
  6. Step 6: Final answer
    x = 102,658.18

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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.