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Finding the Fourth Proportional to 355,729.16, 533,594.64 and 145,367.12

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Solution

The fourth proportional to 355,729.16, 533,594.64 and 145,367.12 is: 218,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,729.16 : 533,594.64 = 145,367.12 : x
  2. Step 2: Convert to fraction form
    355,729.16/533,594.64 = 145,367.12/x
  3. Step 3: Cross multiply
    355,729.16x = 533,594.64 × 145,367.12
  4. Step 4: Simplify right side
    355,729.16x = 77,567,116,064.24
  5. Step 5: Solve for x
    x = 77,567,116,064.24/355,729.16
  6. Step 6: Final answer
    x = 218,051.05

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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.