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Finding the Fourth Proportional to 163,009.45, 224,746.32 and 116,497.90

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Solution

The fourth proportional to 163,009.45, 224,746.32 and 116,497.90 is: 160,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,009.45 : 224,746.32 = 116,497.90 : x
  2. Step 2: Convert to fraction form
    163,009.45/224,746.32 = 116,497.90/x
  3. Step 3: Cross multiply
    163,009.45x = 224,746.32 × 116,497.90
  4. Step 4: Simplify right side
    163,009.45x = 26,182,474,042.11
  5. Step 5: Solve for x
    x = 26,182,474,042.11/163,009.45
  6. Step 6: Final answer
    x = 160,619.37

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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.