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Finding the Fourth Proportional to 343,200.60, 514,898.10 and 106,567.20

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Solution

The fourth proportional to 343,200.60, 514,898.10 and 106,567.20 is: 159,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,200.60 : 514,898.10 = 106,567.20 : x
  2. Step 2: Convert to fraction form
    343,200.60/514,898.10 = 106,567.20/x
  3. Step 3: Cross multiply
    343,200.60x = 514,898.10 × 106,567.20
  4. Step 4: Simplify right side
    343,200.60x = 54,871,248,802.32
  5. Step 5: Solve for x
    x = 54,871,248,802.32/343,200.60
  6. Step 6: Final answer
    x = 159,880.98

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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.