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Finding the Fourth Proportional to 255,542.58, 383,264.46 and 97,734.06

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Solution

The fourth proportional to 255,542.58, 383,264.46 and 97,734.06 is: 146,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,542.58 : 383,264.46 = 97,734.06 : x
  2. Step 2: Convert to fraction form
    255,542.58/383,264.46 = 97,734.06/x
  3. Step 3: Cross multiply
    255,542.58x = 383,264.46 × 97,734.06
  4. Step 4: Simplify right side
    255,542.58x = 37,457,991,729.51
  5. Step 5: Solve for x
    x = 37,457,991,729.51/255,542.58
  6. Step 6: Final answer
    x = 146,582.19

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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.