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Finding the Fourth Proportional to 153,407.60, 230,017.44 and 59,804

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Solution

The fourth proportional to 153,407.60, 230,017.44 and 59,804 is: 89,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,407.60 : 230,017.44 = 59,804 : x
  2. Step 2: Convert to fraction form
    153,407.60/230,017.44 = 59,804/x
  3. Step 3: Cross multiply
    153,407.60x = 230,017.44 × 59,804
  4. Step 4: Simplify right side
    153,407.60x = 13,755,962,981.76
  5. Step 5: Solve for x
    x = 13,755,962,981.76/153,407.60
  6. Step 6: Final answer
    x = 89,669.37

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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.