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Finding the Fourth Proportional to 119,804.16, 165,332.16 and 69,506.40

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Solution

The fourth proportional to 119,804.16, 165,332.16 and 69,506.40 is: 95,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,804.16 : 165,332.16 = 69,506.40 : x
  2. Step 2: Convert to fraction form
    119,804.16/165,332.16 = 69,506.40/x
  3. Step 3: Cross multiply
    119,804.16x = 165,332.16 × 69,506.40
  4. Step 4: Simplify right side
    119,804.16x = 11,491,643,245.82
  5. Step 5: Solve for x
    x = 11,491,643,245.82/119,804.16
  6. Step 6: Final answer
    x = 95,920.24

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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.