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Finding the Fourth Proportional to 163,057.64, 224,915.94 and 117,802.04

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Solution

The fourth proportional to 163,057.64, 224,915.94 and 117,802.04 is: 162,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,057.64 : 224,915.94 = 117,802.04 : x
  2. Step 2: Convert to fraction form
    163,057.64/224,915.94 = 117,802.04/x
  3. Step 3: Cross multiply
    163,057.64x = 224,915.94 × 117,802.04
  4. Step 4: Simplify right side
    163,057.64x = 26,495,556,560.52
  5. Step 5: Solve for x
    x = 26,495,556,560.52/163,057.64
  6. Step 6: Final answer
    x = 162,491.97

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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.