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Finding the Fourth Proportional to 180,539.96, 249,141.89 and 99,967.23

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Solution

The fourth proportional to 180,539.96, 249,141.89 and 99,967.23 is: 137,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,539.96 : 249,141.89 = 99,967.23 : x
  2. Step 2: Convert to fraction form
    180,539.96/249,141.89 = 99,967.23/x
  3. Step 3: Cross multiply
    180,539.96x = 249,141.89 × 99,967.23
  4. Step 4: Simplify right side
    180,539.96x = 24,906,024,870.18
  5. Step 5: Solve for x
    x = 24,906,024,870.18/180,539.96
  6. Step 6: Final answer
    x = 137,952.98

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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.