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Finding the Fourth Proportional to 152,036.20, 209,806.50 and 84,968.20

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Solution

The fourth proportional to 152,036.20, 209,806.50 and 84,968.20 is: 117,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,036.20 : 209,806.50 = 84,968.20 : x
  2. Step 2: Convert to fraction form
    152,036.20/209,806.50 = 84,968.20/x
  3. Step 3: Cross multiply
    152,036.20x = 209,806.50 × 84,968.20
  4. Step 4: Simplify right side
    152,036.20x = 17,826,880,653.30
  5. Step 5: Solve for x
    x = 17,826,880,653.30/152,036.20
  6. Step 6: Final answer
    x = 117,254.18

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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.