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Finding the Fourth Proportional to 176,065.68, 264,043.26 and 57,710.64

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Solution

The fourth proportional to 176,065.68, 264,043.26 and 57,710.64 is: 86,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,065.68 : 264,043.26 = 57,710.64 : x
  2. Step 2: Convert to fraction form
    176,065.68/264,043.26 = 57,710.64/x
  3. Step 3: Cross multiply
    176,065.68x = 264,043.26 × 57,710.64
  4. Step 4: Simplify right side
    176,065.68x = 15,238,105,522.29
  5. Step 5: Solve for x
    x = 15,238,105,522.29/176,065.68
  6. Step 6: Final answer
    x = 86,547.85

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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.