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Finding the Fourth Proportional to 181,071.68, 249,875.16 and 100,494.48

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Solution

The fourth proportional to 181,071.68, 249,875.16 and 100,494.48 is: 138,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,071.68 : 249,875.16 = 100,494.48 : x
  2. Step 2: Convert to fraction form
    181,071.68/249,875.16 = 100,494.48/x
  3. Step 3: Cross multiply
    181,071.68x = 249,875.16 × 100,494.48
  4. Step 4: Simplify right side
    181,071.68x = 25,111,074,269.12
  5. Step 5: Solve for x
    x = 25,111,074,269.12/181,071.68
  6. Step 6: Final answer
    x = 138,680.30

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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.