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Finding the Fourth Proportional to 364,076, 546,206.16 and 101,420

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Solution

The fourth proportional to 364,076, 546,206.16 and 101,420 is: 152,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,076 : 546,206.16 = 101,420 : x
  2. Step 2: Convert to fraction form
    364,076/546,206.16 = 101,420/x
  3. Step 3: Cross multiply
    364,076x = 546,206.16 × 101,420
  4. Step 4: Simplify right side
    364,076x = 55,396,228,747.20
  5. Step 5: Solve for x
    x = 55,396,228,747.20/364,076
  6. Step 6: Final answer
    x = 152,155.67

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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.