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Finding the Fourth Proportional to 166,547.22, 249,811.11 and 41,878.50

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Solution

The fourth proportional to 166,547.22, 249,811.11 and 41,878.50 is: 62,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,547.22 : 249,811.11 = 41,878.50 : x
  2. Step 2: Convert to fraction form
    166,547.22/249,811.11 = 41,878.50/x
  3. Step 3: Cross multiply
    166,547.22x = 249,811.11 × 41,878.50
  4. Step 4: Simplify right side
    166,547.22x = 10,461,714,570.14
  5. Step 5: Solve for x
    x = 10,461,714,570.14/166,547.22
  6. Step 6: Final answer
    x = 62,815.31

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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.