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Finding the Fourth Proportional to 119,043.77, 164,281.64 and 65,332.26

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Solution

The fourth proportional to 119,043.77, 164,281.64 and 65,332.26 is: 90,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,043.77 : 164,281.64 = 65,332.26 : x
  2. Step 2: Convert to fraction form
    119,043.77/164,281.64 = 65,332.26/x
  3. Step 3: Cross multiply
    119,043.77x = 164,281.64 × 65,332.26
  4. Step 4: Simplify right side
    119,043.77x = 10,732,890,491.05
  5. Step 5: Solve for x
    x = 10,732,890,491.05/119,043.77
  6. Step 6: Final answer
    x = 90,159.20

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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.