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Finding the Fourth Proportional to 162,302.12, 224,014.34 and 105,615.08

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Solution

The fourth proportional to 162,302.12, 224,014.34 and 105,615.08 is: 145,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,302.12 : 224,014.34 = 105,615.08 : x
  2. Step 2: Convert to fraction form
    162,302.12/224,014.34 = 105,615.08/x
  3. Step 3: Cross multiply
    162,302.12x = 224,014.34 × 105,615.08
  4. Step 4: Simplify right side
    162,302.12x = 23,659,292,440.25
  5. Step 5: Solve for x
    x = 23,659,292,440.25/162,302.12
  6. Step 6: Final answer
    x = 145,773.16

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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.