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Finding the Fourth Proportional to 136,477.70, 204,643.65 and 57,502.70

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Solution

The fourth proportional to 136,477.70, 204,643.65 and 57,502.70 is: 86,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,477.70 : 204,643.65 = 57,502.70 : x
  2. Step 2: Convert to fraction form
    136,477.70/204,643.65 = 57,502.70/x
  3. Step 3: Cross multiply
    136,477.70x = 204,643.65 × 57,502.70
  4. Step 4: Simplify right side
    136,477.70x = 11,767,562,412.86
  5. Step 5: Solve for x
    x = 11,767,562,412.86/136,477.70
  6. Step 6: Final answer
    x = 86,223.33

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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.