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Finding the Fourth Proportional to 119,041.32, 164,281.76 and 65,328.26

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Solution

The fourth proportional to 119,041.32, 164,281.76 and 65,328.26 is: 90,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,041.32 : 164,281.76 = 65,328.26 : x
  2. Step 2: Convert to fraction form
    119,041.32/164,281.76 = 65,328.26/x
  3. Step 3: Cross multiply
    119,041.32x = 164,281.76 × 65,328.26
  4. Step 4: Simplify right side
    119,041.32x = 10,732,240,382.49
  5. Step 5: Solve for x
    x = 10,732,240,382.49/119,041.32
  6. Step 6: Final answer
    x = 90,155.59

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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.