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Finding the Fourth Proportional to 153,964.06, 230,900.19 and 65,216.14

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Solution

The fourth proportional to 153,964.06, 230,900.19 and 65,216.14 is: 97,804.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,964.06 : 230,900.19 = 65,216.14 : x
  2. Step 2: Convert to fraction form
    153,964.06/230,900.19 = 65,216.14/x
  3. Step 3: Cross multiply
    153,964.06x = 230,900.19 × 65,216.14
  4. Step 4: Simplify right side
    153,964.06x = 15,058,419,117.07
  5. Step 5: Solve for x
    x = 15,058,419,117.07/153,964.06
  6. Step 6: Final answer
    x = 97,804.77

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1.5x scale

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.