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Finding the Fourth Proportional to 201,225.60, 301,838.40 and 180,230.40

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Solution

The fourth proportional to 201,225.60, 301,838.40 and 180,230.40 is: 270,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,225.60 : 301,838.40 = 180,230.40 : x
  2. Step 2: Convert to fraction form
    201,225.60/301,838.40 = 180,230.40/x
  3. Step 3: Cross multiply
    201,225.60x = 301,838.40 × 180,230.40
  4. Step 4: Simplify right side
    201,225.60x = 54,400,455,567.36
  5. Step 5: Solve for x
    x = 54,400,455,567.36/201,225.60
  6. Step 6: Final answer
    x = 270,345.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.