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Finding the Fourth Proportional to 157,564.01, 217,441.26 and 85,946.60

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Solution

The fourth proportional to 157,564.01, 217,441.26 and 85,946.60 is: 118,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564.01 : 217,441.26 = 85,946.60 : x
  2. Step 2: Convert to fraction form
    157,564.01/217,441.26 = 85,946.60/x
  3. Step 3: Cross multiply
    157,564.01x = 217,441.26 × 85,946.60
  4. Step 4: Simplify right side
    157,564.01x = 18,688,335,909.51
  5. Step 5: Solve for x
    x = 18,688,335,909.51/157,564.01
  6. Step 6: Final answer
    x = 118,607.90

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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.