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Finding the Fourth Proportional to 161,098.47, 222,309.71 and 89,483.07

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Solution

The fourth proportional to 161,098.47, 222,309.71 and 89,483.07 is: 123,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,098.47 : 222,309.71 = 89,483.07 : x
  2. Step 2: Convert to fraction form
    161,098.47/222,309.71 = 89,483.07/x
  3. Step 3: Cross multiply
    161,098.47x = 222,309.71 × 89,483.07
  4. Step 4: Simplify right side
    161,098.47x = 19,892,954,894.19
  5. Step 5: Solve for x
    x = 19,892,954,894.19/161,098.47
  6. Step 6: Final answer
    x = 123,483.20

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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.