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Finding the Fourth Proportional to 180,524.64, 249,189.42 and 105,073.14

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Solution

The fourth proportional to 180,524.64, 249,189.42 and 105,073.14 is: 145,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,524.64 : 249,189.42 = 105,073.14 : x
  2. Step 2: Convert to fraction form
    180,524.64/249,189.42 = 105,073.14/x
  3. Step 3: Cross multiply
    180,524.64x = 249,189.42 × 105,073.14
  4. Step 4: Simplify right side
    180,524.64x = 26,183,114,814.18
  5. Step 5: Solve for x
    x = 26,183,114,814.18/180,524.64
  6. Step 6: Final answer
    x = 145,039.01

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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.