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Finding the Fourth Proportional to 306,055.10, 459,117.59 and 81,424.68

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Solution

The fourth proportional to 306,055.10, 459,117.59 and 81,424.68 is: 122,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,055.10 : 459,117.59 = 81,424.68 : x
  2. Step 2: Convert to fraction form
    306,055.10/459,117.59 = 81,424.68/x
  3. Step 3: Cross multiply
    306,055.10x = 459,117.59 × 81,424.68
  4. Step 4: Simplify right side
    306,055.10x = 37,383,502,441.00
  5. Step 5: Solve for x
    x = 37,383,502,441.00/306,055.10
  6. Step 6: Final answer
    x = 122,146.32

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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.