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Finding the Fourth Proportional to 152,452.32, 210,377.12 and 83,541.38

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Solution

The fourth proportional to 152,452.32, 210,377.12 and 83,541.38 is: 115,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,452.32 : 210,377.12 = 83,541.38 : x
  2. Step 2: Convert to fraction form
    152,452.32/210,377.12 = 83,541.38/x
  3. Step 3: Cross multiply
    152,452.32x = 210,377.12 × 83,541.38
  4. Step 4: Simplify right side
    152,452.32x = 17,575,193,455.63
  5. Step 5: Solve for x
    x = 17,575,193,455.63/152,452.32
  6. Step 6: Final answer
    x = 115,283.21

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