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Finding the Fourth Proportional to 211,302.36, 291,596.69 and 114,508.91

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Solution

The fourth proportional to 211,302.36, 291,596.69 and 114,508.91 is: 158,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,302.36 : 291,596.69 = 114,508.91 : x
  2. Step 2: Convert to fraction form
    211,302.36/291,596.69 = 114,508.91/x
  3. Step 3: Cross multiply
    211,302.36x = 291,596.69 × 114,508.91
  4. Step 4: Simplify right side
    211,302.36x = 33,390,417,100.98
  5. Step 5: Solve for x
    x = 33,390,417,100.98/211,302.36
  6. Step 6: Final answer
    x = 158,021.98

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