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Finding the Fourth Proportional to 153,598.06, 230,216.09 and 69,259.48

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Solution

The fourth proportional to 153,598.06, 230,216.09 and 69,259.48 is: 103,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,598.06 : 230,216.09 = 69,259.48 : x
  2. Step 2: Convert to fraction form
    153,598.06/230,216.09 = 69,259.48/x
  3. Step 3: Cross multiply
    153,598.06x = 230,216.09 × 69,259.48
  4. Step 4: Simplify right side
    153,598.06x = 15,944,646,504.07
  5. Step 5: Solve for x
    x = 15,944,646,504.07/153,598.06
  6. Step 6: Final answer
    x = 103,807.60

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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.