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Finding the Fourth Proportional to 169,411.94, 233,795.85 and 101,415.80

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Solution

The fourth proportional to 169,411.94, 233,795.85 and 101,415.80 is: 139,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,411.94 : 233,795.85 = 101,415.80 : x
  2. Step 2: Convert to fraction form
    169,411.94/233,795.85 = 101,415.80/x
  3. Step 3: Cross multiply
    169,411.94x = 233,795.85 × 101,415.80
  4. Step 4: Simplify right side
    169,411.94x = 23,710,594,210.43
  5. Step 5: Solve for x
    x = 23,710,594,210.43/169,411.94
  6. Step 6: Final answer
    x = 139,958.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.