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Finding the Fourth Proportional to 102,004.90, 153,007.35 and 86,914.60

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Solution

The fourth proportional to 102,004.90, 153,007.35 and 86,914.60 is: 130,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.90 : 153,007.35 = 86,914.60 : x
  2. Step 2: Convert to fraction form
    102,004.90/153,007.35 = 86,914.60/x
  3. Step 3: Cross multiply
    102,004.90x = 153,007.35 × 86,914.60
  4. Step 4: Simplify right side
    102,004.90x = 13,298,572,622.31
  5. Step 5: Solve for x
    x = 13,298,572,622.31/102,004.90
  6. Step 6: Final answer
    x = 130,371.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.