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Finding the Fourth Proportional to 102,242.54, 153,125.73 and 98,695.50

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Solution

The fourth proportional to 102,242.54, 153,125.73 and 98,695.50 is: 147,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242.54 : 153,125.73 = 98,695.50 : x
  2. Step 2: Convert to fraction form
    102,242.54/153,125.73 = 98,695.50/x
  3. Step 3: Cross multiply
    102,242.54x = 153,125.73 × 98,695.50
  4. Step 4: Simplify right side
    102,242.54x = 15,112,820,485.22
  5. Step 5: Solve for x
    x = 15,112,820,485.22/102,242.54
  6. Step 6: Final answer
    x = 147,813.44

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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.