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Finding the Fourth Proportional to 211,328.92, 291,663.80 and 130,782.38

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Solution

The fourth proportional to 211,328.92, 291,663.80 and 130,782.38 is: 180,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,328.92 : 291,663.80 = 130,782.38 : x
  2. Step 2: Convert to fraction form
    211,328.92/291,663.80 = 130,782.38/x
  3. Step 3: Cross multiply
    211,328.92x = 291,663.80 × 130,782.38
  4. Step 4: Simplify right side
    211,328.92x = 38,144,485,923.84
  5. Step 5: Solve for x
    x = 38,144,485,923.84/211,328.92
  6. Step 6: Final answer
    x = 180,498.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.