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Finding the Fourth Proportional to 129,030.17, 178,075.94 and 75,328.38

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Solution

The fourth proportional to 129,030.17, 178,075.94 and 75,328.38 is: 103,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,030.17 : 178,075.94 = 75,328.38 : x
  2. Step 2: Convert to fraction form
    129,030.17/178,075.94 = 75,328.38/x
  3. Step 3: Cross multiply
    129,030.17x = 178,075.94 × 75,328.38
  4. Step 4: Simplify right side
    129,030.17x = 13,414,171,700.54
  5. Step 5: Solve for x
    x = 13,414,171,700.54/129,030.17
  6. Step 6: Final answer
    x = 103,961.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.