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Finding the Fourth Proportional to 164,038.50, 226,373.13 and 88,587

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Solution

The fourth proportional to 164,038.50, 226,373.13 and 88,587 is: 122,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,038.50 : 226,373.13 = 88,587 : x
  2. Step 2: Convert to fraction form
    164,038.50/226,373.13 = 88,587/x
  3. Step 3: Cross multiply
    164,038.50x = 226,373.13 × 88,587
  4. Step 4: Simplify right side
    164,038.50x = 20,053,716,467.31
  5. Step 5: Solve for x
    x = 20,053,716,467.31/164,038.50
  6. Step 6: Final answer
    x = 122,250.06

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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.