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Finding the Fourth Proportional to 153,574.32, 230,266.44 and 59,970

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Solution

The fourth proportional to 153,574.32, 230,266.44 and 59,970 is: 89,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,574.32 : 230,266.44 = 59,970 : x
  2. Step 2: Convert to fraction form
    153,574.32/230,266.44 = 59,970/x
  3. Step 3: Cross multiply
    153,574.32x = 230,266.44 × 59,970
  4. Step 4: Simplify right side
    153,574.32x = 13,809,078,406.80
  5. Step 5: Solve for x
    x = 13,809,078,406.80/153,574.32
  6. Step 6: Final answer
    x = 89,917.89

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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.