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Finding the Fourth Proportional to 223,582.72, 308,671.68 and 148,233.28

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Solution

The fourth proportional to 223,582.72, 308,671.68 and 148,233.28 is: 204,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,582.72 : 308,671.68 = 148,233.28 : x
  2. Step 2: Convert to fraction form
    223,582.72/308,671.68 = 148,233.28/x
  3. Step 3: Cross multiply
    223,582.72x = 308,671.68 × 148,233.28
  4. Step 4: Simplify right side
    223,582.72x = 45,755,415,569.51
  5. Step 5: Solve for x
    x = 45,755,415,569.51/223,582.72
  6. Step 6: Final answer
    x = 204,646.48

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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.