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Finding the Fourth Proportional to 98,265.76, 147,398.51 and 30,798.25

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Solution

The fourth proportional to 98,265.76, 147,398.51 and 30,798.25 is: 46,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,265.76 : 147,398.51 = 30,798.25 : x
  2. Step 2: Convert to fraction form
    98,265.76/147,398.51 = 30,798.25/x
  3. Step 3: Cross multiply
    98,265.76x = 147,398.51 × 30,798.25
  4. Step 4: Simplify right side
    98,265.76x = 4,539,615,869.11
  5. Step 5: Solve for x
    x = 4,539,615,869.11/98,265.76
  6. Step 6: Final answer
    x = 46,197.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.