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Finding the Fourth Proportional to 151,648.97, 209,276.29 and 83,666.77

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Solution

The fourth proportional to 151,648.97, 209,276.29 and 83,666.77 is: 115,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,648.97 : 209,276.29 = 83,666.77 : x
  2. Step 2: Convert to fraction form
    151,648.97/209,276.29 = 83,666.77/x
  3. Step 3: Cross multiply
    151,648.97x = 209,276.29 × 83,666.77
  4. Step 4: Simplify right side
    151,648.97x = 17,509,470,803.55
  5. Step 5: Solve for x
    x = 17,509,470,803.55/151,648.97
  6. Step 6: Final answer
    x = 115,460.53

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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.