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Finding the Fourth Proportional to 180,737.64, 249,196.23 and 146,649.60

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Solution

The fourth proportional to 180,737.64, 249,196.23 and 146,649.60 is: 202,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,737.64 : 249,196.23 = 146,649.60 : x
  2. Step 2: Convert to fraction form
    180,737.64/249,196.23 = 146,649.60/x
  3. Step 3: Cross multiply
    180,737.64x = 249,196.23 × 146,649.60
  4. Step 4: Simplify right side
    180,737.64x = 36,544,527,451.01
  5. Step 5: Solve for x
    x = 36,544,527,451.01/180,737.64
  6. Step 6: Final answer
    x = 202,196.55

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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.