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Finding the Fourth Proportional to 105,201.86, 157,802.72 and 26,316.02

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Solution

The fourth proportional to 105,201.86, 157,802.72 and 26,316.02 is: 39,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201.86 : 157,802.72 = 26,316.02 : x
  2. Step 2: Convert to fraction form
    105,201.86/157,802.72 = 26,316.02/x
  3. Step 3: Cross multiply
    105,201.86x = 157,802.72 × 26,316.02
  4. Step 4: Simplify right side
    105,201.86x = 4,152,739,798.50
  5. Step 5: Solve for x
    x = 4,152,739,798.50/105,201.86
  6. Step 6: Final answer
    x = 39,474.02

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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.