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Finding the Fourth Proportional to 153,758.64, 230,669.09 and 65,012.00

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Solution

The fourth proportional to 153,758.64, 230,669.09 and 65,012.00 is: 97,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,758.64 : 230,669.09 = 65,012.00 : x
  2. Step 2: Convert to fraction form
    153,758.64/230,669.09 = 65,012.00/x
  3. Step 3: Cross multiply
    153,758.64x = 230,669.09 × 65,012.00
  4. Step 4: Simplify right side
    153,758.64x = 14,996,257,400.67
  5. Step 5: Solve for x
    x = 14,996,257,400.67/153,758.64
  6. Step 6: Final answer
    x = 97,531.15

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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.