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Finding the Fourth Proportional to 255,576.52, 383,364.78 and 97,853.32

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Solution

The fourth proportional to 255,576.52, 383,364.78 and 97,853.32 is: 146,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,576.52 : 383,364.78 = 97,853.32 : x
  2. Step 2: Convert to fraction form
    255,576.52/383,364.78 = 97,853.32/x
  3. Step 3: Cross multiply
    255,576.52x = 383,364.78 × 97,853.32
  4. Step 4: Simplify right side
    255,576.52x = 37,513,516,494.07
  5. Step 5: Solve for x
    x = 37,513,516,494.07/255,576.52
  6. Step 6: Final answer
    x = 146,779.98

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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.