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Finding the Fourth Proportional to 102,751.16, 154,068.36 and 61,227.32

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Solution

The fourth proportional to 102,751.16, 154,068.36 and 61,227.32 is: 91,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,751.16 : 154,068.36 = 61,227.32 : x
  2. Step 2: Convert to fraction form
    102,751.16/154,068.36 = 61,227.32/x
  3. Step 3: Cross multiply
    102,751.16x = 154,068.36 × 61,227.32
  4. Step 4: Simplify right side
    102,751.16x = 9,433,192,779.60
  5. Step 5: Solve for x
    x = 9,433,192,779.60/102,751.16
  6. Step 6: Final answer
    x = 91,806.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.