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Finding the Fourth Proportional to 180,878.54, 249,324.78 and 142,575.98

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Solution

The fourth proportional to 180,878.54, 249,324.78 and 142,575.98 is: 196,528.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878.54 : 249,324.78 = 142,575.98 : x
  2. Step 2: Convert to fraction form
    180,878.54/249,324.78 = 142,575.98/x
  3. Step 3: Cross multiply
    180,878.54x = 249,324.78 × 142,575.98
  4. Step 4: Simplify right side
    180,878.54x = 35,547,724,846.78
  5. Step 5: Solve for x
    x = 35,547,724,846.78/180,878.54
  6. Step 6: Final answer
    x = 196,528.15

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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.