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Finding the Fourth Proportional to 119,645.67, 164,957.67 and 98,055.93

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Solution

The fourth proportional to 119,645.67, 164,957.67 and 98,055.93 is: 135,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,645.67 : 164,957.67 = 98,055.93 : x
  2. Step 2: Convert to fraction form
    119,645.67/164,957.67 = 98,055.93/x
  3. Step 3: Cross multiply
    119,645.67x = 164,957.67 × 98,055.93
  4. Step 4: Simplify right side
    119,645.67x = 16,175,077,742.48
  5. Step 5: Solve for x
    x = 16,175,077,742.48/119,645.67
  6. Step 6: Final answer
    x = 135,191.50

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Why These Related Problems?

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