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Finding the Fourth Proportional to 162,894.83, 224,661.58 and 114,656.44

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Solution

The fourth proportional to 162,894.83, 224,661.58 and 114,656.44 is: 158,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,894.83 : 224,661.58 = 114,656.44 : x
  2. Step 2: Convert to fraction form
    162,894.83/224,661.58 = 114,656.44/x
  3. Step 3: Cross multiply
    162,894.83x = 224,661.58 × 114,656.44
  4. Step 4: Simplify right side
    162,894.83x = 25,758,897,242.59
  5. Step 5: Solve for x
    x = 25,758,897,242.59/162,894.83
  6. Step 6: Final answer
    x = 158,132.08

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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.