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Finding the Fourth Proportional to 205,018.54, 282,925.71 and 114,374.51

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Solution

The fourth proportional to 205,018.54, 282,925.71 and 114,374.51 is: 157,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,018.54 : 282,925.71 = 114,374.51 : x
  2. Step 2: Convert to fraction form
    205,018.54/282,925.71 = 114,374.51/x
  3. Step 3: Cross multiply
    205,018.54x = 282,925.71 × 114,374.51
  4. Step 4: Simplify right side
    205,018.54x = 32,359,488,656.98
  5. Step 5: Solve for x
    x = 32,359,488,656.98/205,018.54
  6. Step 6: Final answer
    x = 157,836.89

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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.