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Finding the Fourth Proportional to 152,063.20, 209,838.76 and 84,076.20

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Solution

The fourth proportional to 152,063.20, 209,838.76 and 84,076.20 is: 116,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,063.20 : 209,838.76 = 84,076.20 : x
  2. Step 2: Convert to fraction form
    152,063.20/209,838.76 = 84,076.20/x
  3. Step 3: Cross multiply
    152,063.20x = 209,838.76 × 84,076.20
  4. Step 4: Simplify right side
    152,063.20x = 17,642,445,553.51
  5. Step 5: Solve for x
    x = 17,642,445,553.51/152,063.20
  6. Step 6: Final answer
    x = 116,020.48

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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.