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Finding the Fourth Proportional to 195,075, 292,612.64 and 47,331

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Solution

The fourth proportional to 195,075, 292,612.64 and 47,331 is: 70,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,075 : 292,612.64 = 47,331 : x
  2. Step 2: Convert to fraction form
    195,075/292,612.64 = 47,331/x
  3. Step 3: Cross multiply
    195,075x = 292,612.64 × 47,331
  4. Step 4: Simplify right side
    195,075x = 13,849,648,863.84
  5. Step 5: Solve for x
    x = 13,849,648,863.84/195,075
  6. Step 6: Final answer
    x = 70,996.53

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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.