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Finding the Fourth Proportional to 242,030.40, 363,057.48 and 64,539

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Solution

The fourth proportional to 242,030.40, 363,057.48 and 64,539 is: 96,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,030.40 : 363,057.48 = 64,539 : x
  2. Step 2: Convert to fraction form
    242,030.40/363,057.48 = 64,539/x
  3. Step 3: Cross multiply
    242,030.40x = 363,057.48 × 64,539
  4. Step 4: Simplify right side
    242,030.40x = 23,431,366,701.72
  5. Step 5: Solve for x
    x = 23,431,366,701.72/242,030.40
  6. Step 6: Final answer
    x = 96,811.67

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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.