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Finding the Fourth Proportional to 152,063.48, 209,832.80 and 84,071.15

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Solution

The fourth proportional to 152,063.48, 209,832.80 and 84,071.15 is: 116,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,063.48 : 209,832.80 = 84,071.15 : x
  2. Step 2: Convert to fraction form
    152,063.48/209,832.80 = 84,071.15/x
  3. Step 3: Cross multiply
    152,063.48x = 209,832.80 × 84,071.15
  4. Step 4: Simplify right side
    152,063.48x = 17,640,883,334.20
  5. Step 5: Solve for x
    x = 17,640,883,334.20/152,063.48
  6. Step 6: Final answer
    x = 116,010.00

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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.