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Finding the Fourth Proportional to 195,152, 292,728.72 and 47,408

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Solution

The fourth proportional to 195,152, 292,728.72 and 47,408 is: 71,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,152 : 292,728.72 = 47,408 : x
  2. Step 2: Convert to fraction form
    195,152/292,728.72 = 47,408/x
  3. Step 3: Cross multiply
    195,152x = 292,728.72 × 47,408
  4. Step 4: Simplify right side
    195,152x = 13,877,683,157.76
  5. Step 5: Solve for x
    x = 13,877,683,157.76/195,152
  6. Step 6: Final answer
    x = 71,112.17

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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.