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Finding the Fourth Proportional to 201,281.45, 282,208.75 and 201,281.45

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Solution

The fourth proportional to 201,281.45, 282,208.75 and 201,281.45 is: 282,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.45 : 282,208.75 = 201,281.45 : x
  2. Step 2: Convert to fraction form
    201,281.45/282,208.75 = 201,281.45/x
  3. Step 3: Cross multiply
    201,281.45x = 282,208.75 × 201,281.45
  4. Step 4: Simplify right side
    201,281.45x = 56,803,386,402.69
  5. Step 5: Solve for x
    x = 56,803,386,402.69/201,281.45
  6. Step 6: Final answer
    x = 282,208.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.