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Finding the Fourth Proportional to 334,078.16, 501,200.87 and 97,420.87

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Solution

The fourth proportional to 334,078.16, 501,200.87 and 97,420.87 is: 146,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,078.16 : 501,200.87 = 97,420.87 : x
  2. Step 2: Convert to fraction form
    334,078.16/501,200.87 = 97,420.87/x
  3. Step 3: Cross multiply
    334,078.16x = 501,200.87 × 97,420.87
  4. Step 4: Simplify right side
    334,078.16x = 48,827,421,807.05
  5. Step 5: Solve for x
    x = 48,827,421,807.05/334,078.16
  6. Step 6: Final answer
    x = 146,155.68

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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.