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Finding the Fourth Proportional to 105,093.83, 157,703.03 and 98,444.29

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Solution

The fourth proportional to 105,093.83, 157,703.03 and 98,444.29 is: 147,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,093.83 : 157,703.03 = 98,444.29 : x
  2. Step 2: Convert to fraction form
    105,093.83/157,703.03 = 98,444.29/x
  3. Step 3: Cross multiply
    105,093.83x = 157,703.03 × 98,444.29
  4. Step 4: Simplify right side
    105,093.83x = 15,524,961,877.16
  5. Step 5: Solve for x
    x = 15,524,961,877.16/105,093.83
  6. Step 6: Final answer
    x = 147,724.77

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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.