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Finding the Fourth Proportional to 181,049.54, 249,878.40 and 105,598.04

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Solution

The fourth proportional to 181,049.54, 249,878.40 and 105,598.04 is: 145,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,049.54 : 249,878.40 = 105,598.04 : x
  2. Step 2: Convert to fraction form
    181,049.54/249,878.40 = 105,598.04/x
  3. Step 3: Cross multiply
    181,049.54x = 249,878.40 × 105,598.04
  4. Step 4: Simplify right side
    181,049.54x = 26,386,669,278.34
  5. Step 5: Solve for x
    x = 26,386,669,278.34/181,049.54
  6. Step 6: Final answer
    x = 145,742.81

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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.