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Finding the Fourth Proportional to 228,092.84, 314,690.98 and 147,622.12

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Solution

The fourth proportional to 228,092.84, 314,690.98 and 147,622.12 is: 203,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,092.84 : 314,690.98 = 147,622.12 : x
  2. Step 2: Convert to fraction form
    228,092.84/314,690.98 = 147,622.12/x
  3. Step 3: Cross multiply
    228,092.84x = 314,690.98 × 147,622.12
  4. Step 4: Simplify right side
    228,092.84x = 46,455,349,612.48
  5. Step 5: Solve for x
    x = 46,455,349,612.48/228,092.84
  6. Step 6: Final answer
    x = 203,668.60

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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.