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Finding the Fourth Proportional to 151,648.54, 209,278.99 and 83,666.40

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Solution

The fourth proportional to 151,648.54, 209,278.99 and 83,666.40 is: 115,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,648.54 : 209,278.99 = 83,666.40 : x
  2. Step 2: Convert to fraction form
    151,648.54/209,278.99 = 83,666.40/x
  3. Step 3: Cross multiply
    151,648.54x = 209,278.99 × 83,666.40
  4. Step 4: Simplify right side
    151,648.54x = 17,509,619,479.77
  5. Step 5: Solve for x
    x = 17,509,619,479.77/151,648.54
  6. Step 6: Final answer
    x = 115,461.84

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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.