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Finding the Fourth Proportional to 255,684.64, 383,582.30 and 97,913.10

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Solution

The fourth proportional to 255,684.64, 383,582.30 and 97,913.10 is: 146,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,684.64 : 383,582.30 = 97,913.10 : x
  2. Step 2: Convert to fraction form
    255,684.64/383,582.30 = 97,913.10/x
  3. Step 3: Cross multiply
    255,684.64x = 383,582.30 × 97,913.10
  4. Step 4: Simplify right side
    255,684.64x = 37,557,732,098.13
  5. Step 5: Solve for x
    x = 37,557,732,098.13/255,684.64
  6. Step 6: Final answer
    x = 146,890.84

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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.