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Finding the Fourth Proportional to 119,063.16, 164,307.04 and 65,348.32

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Solution

The fourth proportional to 119,063.16, 164,307.04 and 65,348.32 is: 90,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,063.16 : 164,307.04 = 65,348.32 : x
  2. Step 2: Convert to fraction form
    119,063.16/164,307.04 = 65,348.32/x
  3. Step 3: Cross multiply
    119,063.16x = 164,307.04 × 65,348.32
  4. Step 4: Simplify right side
    119,063.16x = 10,737,189,028.17
  5. Step 5: Solve for x
    x = 10,737,189,028.17/119,063.16
  6. Step 6: Final answer
    x = 90,180.62

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1.5x scale

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.