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Finding the Fourth Proportional to 119,574.16, 164,988.16 and 90,886.19

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Solution

The fourth proportional to 119,574.16, 164,988.16 and 90,886.19 is: 125,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,574.16 : 164,988.16 = 90,886.19 : x
  2. Step 2: Convert to fraction form
    119,574.16/164,988.16 = 90,886.19/x
  3. Step 3: Cross multiply
    119,574.16x = 164,988.16 × 90,886.19
  4. Step 4: Simplify right side
    119,574.16x = 14,995,144,205.35
  5. Step 5: Solve for x
    x = 14,995,144,205.35/119,574.16
  6. Step 6: Final answer
    x = 125,404.56

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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.