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Finding the Fourth Proportional to 180,547.88, 249,149.22 and 99,969

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Solution

The fourth proportional to 180,547.88, 249,149.22 and 99,969 is: 137,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,547.88 : 249,149.22 = 99,969 : x
  2. Step 2: Convert to fraction form
    180,547.88/249,149.22 = 99,969/x
  3. Step 3: Cross multiply
    180,547.88x = 249,149.22 × 99,969
  4. Step 4: Simplify right side
    180,547.88x = 24,907,198,374.18
  5. Step 5: Solve for x
    x = 24,907,198,374.18/180,547.88
  6. Step 6: Final answer
    x = 137,953.42

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1.5x scale

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.