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Finding the Fourth Proportional to 147,030.52, 202,904.10 and 83,366.92

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Solution

The fourth proportional to 147,030.52, 202,904.10 and 83,366.92 is: 115,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,030.52 : 202,904.10 = 83,366.92 : x
  2. Step 2: Convert to fraction form
    147,030.52/202,904.10 = 83,366.92/x
  3. Step 3: Cross multiply
    147,030.52x = 202,904.10 × 83,366.92
  4. Step 4: Simplify right side
    147,030.52x = 16,915,489,872.37
  5. Step 5: Solve for x
    x = 16,915,489,872.37/147,030.52
  6. Step 6: Final answer
    x = 115,047.47

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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.