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Finding the Fourth Proportional to 668,095.10, 1,002,045.45 and 194,731.10

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Solution

The fourth proportional to 668,095.10, 1,002,045.45 and 194,731.10 is: 292,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,095.10 : 1,002,045.45 = 194,731.10 : x
  2. Step 2: Convert to fraction form
    668,095.10/1,002,045.45 = 194,731.10/x
  3. Step 3: Cross multiply
    668,095.10x = 1,002,045.45 × 194,731.10
  4. Step 4: Simplify right side
    668,095.10x = 195,129,412,728.50
  5. Step 5: Solve for x
    x = 195,129,412,728.50/668,095.10
  6. Step 6: Final answer
    x = 292,068.32

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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.