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Finding the Fourth Proportional to 158,537.34, 237,681 and 78,602.76

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Solution

The fourth proportional to 158,537.34, 237,681 and 78,602.76 is: 117,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,537.34 : 237,681 = 78,602.76 : x
  2. Step 2: Convert to fraction form
    158,537.34/237,681 = 78,602.76/x
  3. Step 3: Cross multiply
    158,537.34x = 237,681 × 78,602.76
  4. Step 4: Simplify right side
    158,537.34x = 18,682,382,599.56
  5. Step 5: Solve for x
    x = 18,682,382,599.56/158,537.34
  6. Step 6: Final answer
    x = 117,842.16

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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.