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Finding the Fourth Proportional to 525,444, 788,217.02 and 141,188.10

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Solution

The fourth proportional to 525,444, 788,217.02 and 141,188.10 is: 211,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,444 : 788,217.02 = 141,188.10 : x
  2. Step 2: Convert to fraction form
    525,444/788,217.02 = 141,188.10/x
  3. Step 3: Cross multiply
    525,444x = 788,217.02 × 141,188.10
  4. Step 4: Simplify right side
    525,444x = 111,286,863,441.46
  5. Step 5: Solve for x
    x = 111,286,863,441.46/525,444
  6. Step 6: Final answer
    x = 211,795.86

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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.