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Finding the Fourth Proportional to 114,368.40, 171,569.16 and 35,488.98

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Solution

The fourth proportional to 114,368.40, 171,569.16 and 35,488.98 is: 53,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,368.40 : 171,569.16 = 35,488.98 : x
  2. Step 2: Convert to fraction form
    114,368.40/171,569.16 = 35,488.98/x
  3. Step 3: Cross multiply
    114,368.40x = 171,569.16 × 35,488.98
  4. Step 4: Simplify right side
    114,368.40x = 6,088,814,487.86
  5. Step 5: Solve for x
    x = 6,088,814,487.86/114,368.40
  6. Step 6: Final answer
    x = 53,238.61

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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.