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Finding the Fourth Proportional to 130,564.96, 180,115.56 and 85,222

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Solution

The fourth proportional to 130,564.96, 180,115.56 and 85,222 is: 117,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,564.96 : 180,115.56 = 85,222 : x
  2. Step 2: Convert to fraction form
    130,564.96/180,115.56 = 85,222/x
  3. Step 3: Cross multiply
    130,564.96x = 180,115.56 × 85,222
  4. Step 4: Simplify right side
    130,564.96x = 15,349,808,254.32
  5. Step 5: Solve for x
    x = 15,349,808,254.32/130,564.96
  6. Step 6: Final answer
    x = 117,564.53

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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.