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Finding the Fourth Proportional to 155,159.98, 232,739.62 and 41,307.82

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Solution

The fourth proportional to 155,159.98, 232,739.62 and 41,307.82 is: 61,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,159.98 : 232,739.62 = 41,307.82 : x
  2. Step 2: Convert to fraction form
    155,159.98/232,739.62 = 41,307.82/x
  3. Step 3: Cross multiply
    155,159.98x = 232,739.62 × 41,307.82
  4. Step 4: Simplify right side
    155,159.98x = 9,613,966,329.83
  5. Step 5: Solve for x
    x = 9,613,966,329.83/155,159.98
  6. Step 6: Final answer
    x = 61,961.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.