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Finding the Fourth Proportional to 153,401.60, 230,008.44 and 59,798

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Solution

The fourth proportional to 153,401.60, 230,008.44 and 59,798 is: 89,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,401.60 : 230,008.44 = 59,798 : x
  2. Step 2: Convert to fraction form
    153,401.60/230,008.44 = 59,798/x
  3. Step 3: Cross multiply
    153,401.60x = 230,008.44 × 59,798
  4. Step 4: Simplify right side
    153,401.60x = 13,754,044,695.12
  5. Step 5: Solve for x
    x = 13,754,044,695.12/153,401.60
  6. Step 6: Final answer
    x = 89,660.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.