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Finding the Fourth Proportional to 182,302.60, 273,453.90 and 165,681.40

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Solution

The fourth proportional to 182,302.60, 273,453.90 and 165,681.40 is: 248,522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,302.60 : 273,453.90 = 165,681.40 : x
  2. Step 2: Convert to fraction form
    182,302.60/273,453.90 = 165,681.40/x
  3. Step 3: Cross multiply
    182,302.60x = 273,453.90 × 165,681.40
  4. Step 4: Simplify right side
    182,302.60x = 45,306,224,987.46
  5. Step 5: Solve for x
    x = 45,306,224,987.46/182,302.60
  6. Step 6: Final answer
    x = 248,522.10

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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.