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Finding the Fourth Proportional to 102,312.63, 153,418.37 and 61,827.84

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Solution

The fourth proportional to 102,312.63, 153,418.37 and 61,827.84 is: 92,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312.63 : 153,418.37 = 61,827.84 : x
  2. Step 2: Convert to fraction form
    102,312.63/153,418.37 = 61,827.84/x
  3. Step 3: Cross multiply
    102,312.63x = 153,418.37 × 61,827.84
  4. Step 4: Simplify right side
    102,312.63x = 9,485,526,124.28
  5. Step 5: Solve for x
    x = 9,485,526,124.28/102,312.63
  6. Step 6: Final answer
    x = 92,711.19

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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.