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Finding the Fourth Proportional to 510,072.14, 765,151.04 and 155,089.24

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Solution

The fourth proportional to 510,072.14, 765,151.04 and 155,089.24 is: 232,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,072.14 : 765,151.04 = 155,089.24 : x
  2. Step 2: Convert to fraction form
    510,072.14/765,151.04 = 155,089.24/x
  3. Step 3: Cross multiply
    510,072.14x = 765,151.04 × 155,089.24
  4. Step 4: Simplify right side
    510,072.14x = 118,666,693,278.81
  5. Step 5: Solve for x
    x = 118,666,693,278.81/510,072.14
  6. Step 6: Final answer
    x = 232,646.88

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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.