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Finding the Fourth Proportional to 333,148.34, 459,743.24 and 180,186.68

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Solution

The fourth proportional to 333,148.34, 459,743.24 and 180,186.68 is: 248,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,148.34 : 459,743.24 = 180,186.68 : x
  2. Step 2: Convert to fraction form
    333,148.34/459,743.24 = 180,186.68/x
  3. Step 3: Cross multiply
    333,148.34x = 459,743.24 × 180,186.68
  4. Step 4: Simplify right side
    333,148.34x = 82,839,608,068.04
  5. Step 5: Solve for x
    x = 82,839,608,068.04/333,148.34
  6. Step 6: Final answer
    x = 248,656.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.