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Finding the Fourth Proportional to 105,203.86, 157,805.71 and 26,318.02

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Solution

The fourth proportional to 105,203.86, 157,805.71 and 26,318.02 is: 39,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,203.86 : 157,805.71 = 26,318.02 : x
  2. Step 2: Convert to fraction form
    105,203.86/157,805.71 = 26,318.02/x
  3. Step 3: Cross multiply
    105,203.86x = 157,805.71 × 26,318.02
  4. Step 4: Simplify right side
    105,203.86x = 4,153,133,831.89
  5. Step 5: Solve for x
    x = 4,153,133,831.89/105,203.86
  6. Step 6: Final answer
    x = 39,477.01

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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.