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Finding the Fourth Proportional to 264,280.81, 364,710.19 and 143,423.14

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Solution

The fourth proportional to 264,280.81, 364,710.19 and 143,423.14 is: 197,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,280.81 : 364,710.19 = 143,423.14 : x
  2. Step 2: Convert to fraction form
    264,280.81/364,710.19 = 143,423.14/x
  3. Step 3: Cross multiply
    264,280.81x = 364,710.19 × 143,423.14
  4. Step 4: Simplify right side
    264,280.81x = 52,307,880,639.80
  5. Step 5: Solve for x
    x = 52,307,880,639.80/264,280.81
  6. Step 6: Final answer
    x = 197,925.38

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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.