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Finding the Fourth Proportional to 105,094.83, 157,704.53 and 98,445.29

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Solution

The fourth proportional to 105,094.83, 157,704.53 and 98,445.29 is: 147,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,094.83 : 157,704.53 = 98,445.29 : x
  2. Step 2: Convert to fraction form
    105,094.83/157,704.53 = 98,445.29/x
  3. Step 3: Cross multiply
    105,094.83x = 157,704.53 × 98,445.29
  4. Step 4: Simplify right side
    105,094.83x = 15,525,268,190.16
  5. Step 5: Solve for x
    x = 15,525,268,190.16/105,094.83
  6. Step 6: Final answer
    x = 147,726.28

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Why These Related Problems?

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