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Finding the Fourth Proportional to 211,061.90, 291,265.89 and 114,266.77

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Solution

The fourth proportional to 211,061.90, 291,265.89 and 114,266.77 is: 157,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,061.90 : 291,265.89 = 114,266.77 : x
  2. Step 2: Convert to fraction form
    211,061.90/291,265.89 = 114,266.77/x
  3. Step 3: Cross multiply
    211,061.90x = 291,265.89 × 114,266.77
  4. Step 4: Simplify right side
    211,061.90x = 33,282,012,461.48
  5. Step 5: Solve for x
    x = 33,282,012,461.48/211,061.90
  6. Step 6: Final answer
    x = 157,688.40

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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.