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Finding the Fourth Proportional to 211,642.59, 292,075.17 and 116,152.68

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Solution

The fourth proportional to 211,642.59, 292,075.17 and 116,152.68 is: 160,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,642.59 : 292,075.17 = 116,152.68 : x
  2. Step 2: Convert to fraction form
    211,642.59/292,075.17 = 116,152.68/x
  3. Step 3: Cross multiply
    211,642.59x = 292,075.17 × 116,152.68
  4. Step 4: Simplify right side
    211,642.59x = 33,925,313,756.96
  5. Step 5: Solve for x
    x = 33,925,313,756.96/211,642.59
  6. Step 6: Final answer
    x = 160,295.31

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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.