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Finding the Fourth Proportional to 242,313.90, 363,442.14 and 64,834.62

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Solution

The fourth proportional to 242,313.90, 363,442.14 and 64,834.62 is: 97,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,313.90 : 363,442.14 = 64,834.62 : x
  2. Step 2: Convert to fraction form
    242,313.90/363,442.14 = 64,834.62/x
  3. Step 3: Cross multiply
    242,313.90x = 363,442.14 × 64,834.62
  4. Step 4: Simplify right side
    242,313.90x = 23,563,633,038.89
  5. Step 5: Solve for x
    x = 23,563,633,038.89/242,313.90
  6. Step 6: Final answer
    x = 97,244.25

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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.