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Finding the Fourth Proportional to 147,578.64, 203,658.56 and 83,920.34

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Solution

The fourth proportional to 147,578.64, 203,658.56 and 83,920.34 is: 115,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,578.64 : 203,658.56 = 83,920.34 : x
  2. Step 2: Convert to fraction form
    147,578.64/203,658.56 = 83,920.34/x
  3. Step 3: Cross multiply
    147,578.64x = 203,658.56 × 83,920.34
  4. Step 4: Simplify right side
    147,578.64x = 17,091,094,161.22
  5. Step 5: Solve for x
    x = 17,091,094,161.22/147,578.64
  6. Step 6: Final answer
    x = 115,810.08

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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.