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Finding the Fourth Proportional to 289,094.64, 433,534.20 and 99,502.08

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Solution

The fourth proportional to 289,094.64, 433,534.20 and 99,502.08 is: 149,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,094.64 : 433,534.20 = 99,502.08 : x
  2. Step 2: Convert to fraction form
    289,094.64/433,534.20 = 99,502.08/x
  3. Step 3: Cross multiply
    289,094.64x = 433,534.20 × 99,502.08
  4. Step 4: Simplify right side
    289,094.64x = 43,137,554,651.14
  5. Step 5: Solve for x
    x = 43,137,554,651.14/289,094.64
  6. Step 6: Final answer
    x = 149,216.03

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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.