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Finding the Fourth Proportional to 119,041.63, 164,282.19 and 65,328.57

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Solution

The fourth proportional to 119,041.63, 164,282.19 and 65,328.57 is: 90,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,041.63 : 164,282.19 = 65,328.57 : x
  2. Step 2: Convert to fraction form
    119,041.63/164,282.19 = 65,328.57/x
  3. Step 3: Cross multiply
    119,041.63x = 164,282.19 × 65,328.57
  4. Step 4: Simplify right side
    119,041.63x = 10,732,320,549.17
  5. Step 5: Solve for x
    x = 10,732,320,549.17/119,041.63
  6. Step 6: Final answer
    x = 90,156.03

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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.