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Finding the Fourth Proportional to 146,292, 201,891.60 and 82,628.16

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Solution

The fourth proportional to 146,292, 201,891.60 and 82,628.16 is: 114,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,292 : 201,891.60 = 82,628.16 : x
  2. Step 2: Convert to fraction form
    146,292/201,891.60 = 82,628.16/x
  3. Step 3: Cross multiply
    146,292x = 201,891.60 × 82,628.16
  4. Step 4: Simplify right side
    146,292x = 16,681,931,427.46
  5. Step 5: Solve for x
    x = 16,681,931,427.46/146,292
  6. Step 6: Final answer
    x = 114,031.74

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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.