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Finding the Fourth Proportional to 114,052.86, 171,068.29 and 35,145.90

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Solution

The fourth proportional to 114,052.86, 171,068.29 and 35,145.90 is: 52,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,052.86 : 171,068.29 = 35,145.90 : x
  2. Step 2: Convert to fraction form
    114,052.86/171,068.29 = 35,145.90/x
  3. Step 3: Cross multiply
    114,052.86x = 171,068.29 × 35,145.90
  4. Step 4: Simplify right side
    114,052.86x = 6,012,349,013.51
  5. Step 5: Solve for x
    x = 6,012,349,013.51/114,052.86
  6. Step 6: Final answer
    x = 52,715.46

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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.