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Finding the Fourth Proportional to 194,999.68, 292,543.68 and 61,888

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Solution

The fourth proportional to 194,999.68, 292,543.68 and 61,888 is: 92,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,999.68 : 292,543.68 = 61,888 : x
  2. Step 2: Convert to fraction form
    194,999.68/292,543.68 = 61,888/x
  3. Step 3: Cross multiply
    194,999.68x = 292,543.68 × 61,888
  4. Step 4: Simplify right side
    194,999.68x = 18,104,943,267.84
  5. Step 5: Solve for x
    x = 18,104,943,267.84/194,999.68
  6. Step 6: Final answer
    x = 92,846.02

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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.