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Finding the Fourth Proportional to 195,060, 292,590.12 and 47,316

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Solution

The fourth proportional to 195,060, 292,590.12 and 47,316 is: 70,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,060 : 292,590.12 = 47,316 : x
  2. Step 2: Convert to fraction form
    195,060/292,590.12 = 47,316/x
  3. Step 3: Cross multiply
    195,060x = 292,590.12 × 47,316
  4. Step 4: Simplify right side
    195,060x = 13,844,194,117.92
  5. Step 5: Solve for x
    x = 13,844,194,117.92/195,060
  6. Step 6: Final answer
    x = 70,974.03

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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.