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Finding the Fourth Proportional to 211,454, 291,779.70 and 115,935.56

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Solution

The fourth proportional to 211,454, 291,779.70 and 115,935.56 is: 159,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,454 : 291,779.70 = 115,935.56 : x
  2. Step 2: Convert to fraction form
    211,454/291,779.70 = 115,935.56/x
  3. Step 3: Cross multiply
    211,454x = 291,779.70 × 115,935.56
  4. Step 4: Simplify right side
    211,454x = 33,827,642,916.13
  5. Step 5: Solve for x
    x = 33,827,642,916.13/211,454
  6. Step 6: Final answer
    x = 159,976.37

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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.