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Finding the Fourth Proportional to 147,044.34, 202,866.21 and 86,578.02

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Solution

The fourth proportional to 147,044.34, 202,866.21 and 86,578.02 is: 119,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,044.34 : 202,866.21 = 86,578.02 : x
  2. Step 2: Convert to fraction form
    147,044.34/202,866.21 = 86,578.02/x
  3. Step 3: Cross multiply
    147,044.34x = 202,866.21 × 86,578.02
  4. Step 4: Simplify right side
    147,044.34x = 17,563,754,786.70
  5. Step 5: Solve for x
    x = 17,563,754,786.70/147,044.34
  6. Step 6: Final answer
    x = 119,445.30

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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.