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Finding the Fourth Proportional to 259,097.84, 357,580.52 and 151,661.36

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Solution

The fourth proportional to 259,097.84, 357,580.52 and 151,661.36 is: 209,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,097.84 : 357,580.52 = 151,661.36 : x
  2. Step 2: Convert to fraction form
    259,097.84/357,580.52 = 151,661.36/x
  3. Step 3: Cross multiply
    259,097.84x = 357,580.52 × 151,661.36
  4. Step 4: Simplify right side
    259,097.84x = 54,231,147,972.71
  5. Step 5: Solve for x
    x = 54,231,147,972.71/259,097.84
  6. Step 6: Final answer
    x = 209,307.60

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Why These Related Problems?

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