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Finding the Fourth Proportional to 213,025.60, 319,538.40 and 146,670.40

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Solution

The fourth proportional to 213,025.60, 319,538.40 and 146,670.40 is: 220,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,025.60 : 319,538.40 = 146,670.40 : x
  2. Step 2: Convert to fraction form
    213,025.60/319,538.40 = 146,670.40/x
  3. Step 3: Cross multiply
    213,025.60x = 319,538.40 × 146,670.40
  4. Step 4: Simplify right side
    213,025.60x = 46,866,824,943.36
  5. Step 5: Solve for x
    x = 46,866,824,943.36/213,025.60
  6. Step 6: Final answer
    x = 220,005.60

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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.