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Finding the Fourth Proportional to 196,159.20, 294,238.80 and 64,831.20

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Solution

The fourth proportional to 196,159.20, 294,238.80 and 64,831.20 is: 97,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,159.20 : 294,238.80 = 64,831.20 : x
  2. Step 2: Convert to fraction form
    196,159.20/294,238.80 = 64,831.20/x
  3. Step 3: Cross multiply
    196,159.20x = 294,238.80 × 64,831.20
  4. Step 4: Simplify right side
    196,159.20x = 19,075,854,490.56
  5. Step 5: Solve for x
    x = 19,075,854,490.56/196,159.20
  6. Step 6: Final answer
    x = 97,246.80

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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.