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Finding the Fourth Proportional to 162,733.48, 224,594.34 and 98,205.88

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Solution

The fourth proportional to 162,733.48, 224,594.34 and 98,205.88 is: 135,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,733.48 : 224,594.34 = 98,205.88 : x
  2. Step 2: Convert to fraction form
    162,733.48/224,594.34 = 98,205.88/x
  3. Step 3: Cross multiply
    162,733.48x = 224,594.34 × 98,205.88
  4. Step 4: Simplify right side
    162,733.48x = 22,056,484,802.72
  5. Step 5: Solve for x
    x = 22,056,484,802.72/162,733.48
  6. Step 6: Final answer
    x = 135,537.47

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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.