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Finding the Fourth Proportional to 160,590.94, 221,719.49 and 103,256.02

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Solution

The fourth proportional to 160,590.94, 221,719.49 and 103,256.02 is: 142,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,590.94 : 221,719.49 = 103,256.02 : x
  2. Step 2: Convert to fraction form
    160,590.94/221,719.49 = 103,256.02/x
  3. Step 3: Cross multiply
    160,590.94x = 221,719.49 × 103,256.02
  4. Step 4: Simplify right side
    160,590.94x = 22,893,872,093.83
  5. Step 5: Solve for x
    x = 22,893,872,093.83/160,590.94
  6. Step 6: Final answer
    x = 142,560.17

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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.