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Finding the Fourth Proportional to 119,574, 165,012.12 and 69,302.16

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Solution

The fourth proportional to 119,574, 165,012.12 and 69,302.16 is: 95,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,574 : 165,012.12 = 69,302.16 : x
  2. Step 2: Convert to fraction form
    119,574/165,012.12 = 69,302.16/x
  3. Step 3: Cross multiply
    119,574x = 165,012.12 × 69,302.16
  4. Step 4: Simplify right side
    119,574x = 11,435,696,342.18
  5. Step 5: Solve for x
    x = 11,435,696,342.18/119,574
  6. Step 6: Final answer
    x = 95,636.98

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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.