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Finding the Fourth Proportional to 227,598.52, 314,039.07 and 130,783.67

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Solution

The fourth proportional to 227,598.52, 314,039.07 and 130,783.67 is: 180,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,598.52 : 314,039.07 = 130,783.67 : x
  2. Step 2: Convert to fraction form
    227,598.52/314,039.07 = 130,783.67/x
  3. Step 3: Cross multiply
    227,598.52x = 314,039.07 × 130,783.67
  4. Step 4: Simplify right side
    227,598.52x = 41,071,183,034.83
  5. Step 5: Solve for x
    x = 41,071,183,034.83/227,598.52
  6. Step 6: Final answer
    x = 180,454.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.