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Finding the Fourth Proportional to 255,347.46, 383,046.60 and 97,708.50

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Solution

The fourth proportional to 255,347.46, 383,046.60 and 97,708.50 is: 146,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,347.46 : 383,046.60 = 97,708.50 : x
  2. Step 2: Convert to fraction form
    255,347.46/383,046.60 = 97,708.50/x
  3. Step 3: Cross multiply
    255,347.46x = 383,046.60 × 97,708.50
  4. Step 4: Simplify right side
    255,347.46x = 37,426,908,716.10
  5. Step 5: Solve for x
    x = 37,426,908,716.10/255,347.46
  6. Step 6: Final answer
    x = 146,572.47

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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.