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Finding the Fourth Proportional to 162,922, 224,752.47 and 141,381.52

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Solution

The fourth proportional to 162,922, 224,752.47 and 141,381.52 is: 195,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,922 : 224,752.47 = 141,381.52 : x
  2. Step 2: Convert to fraction form
    162,922/224,752.47 = 141,381.52/x
  3. Step 3: Cross multiply
    162,922x = 224,752.47 × 141,381.52
  4. Step 4: Simplify right side
    162,922x = 31,775,845,832.35
  5. Step 5: Solve for x
    x = 31,775,845,832.35/162,922
  6. Step 6: Final answer
    x = 195,037.17

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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.