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Finding the Fourth Proportional to 181,072.42, 249,875.13 and 100,497.86

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Solution

The fourth proportional to 181,072.42, 249,875.13 and 100,497.86 is: 138,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,072.42 : 249,875.13 = 100,497.86 : x
  2. Step 2: Convert to fraction form
    181,072.42/249,875.13 = 100,497.86/x
  3. Step 3: Cross multiply
    181,072.42x = 249,875.13 × 100,497.86
  4. Step 4: Simplify right side
    181,072.42x = 25,111,915,832.22
  5. Step 5: Solve for x
    x = 25,111,915,832.22/181,072.42
  6. Step 6: Final answer
    x = 138,684.38

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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.