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Finding the Fourth Proportional to 194,751.16, 292,097.50 and 61,614.12

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Solution

The fourth proportional to 194,751.16, 292,097.50 and 61,614.12 is: 92,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.16 : 292,097.50 = 61,614.12 : x
  2. Step 2: Convert to fraction form
    194,751.16/292,097.50 = 61,614.12/x
  3. Step 3: Cross multiply
    194,751.16x = 292,097.50 × 61,614.12
  4. Step 4: Simplify right side
    194,751.16x = 17,997,330,416.70
  5. Step 5: Solve for x
    x = 17,997,330,416.70/194,751.16
  6. Step 6: Final answer
    x = 92,411.93

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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.