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Finding the Fourth Proportional to 153,296.25, 229,975.12 and 53,429.63

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Solution

The fourth proportional to 153,296.25, 229,975.12 and 53,429.63 is: 80,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,296.25 : 229,975.12 = 53,429.63 : x
  2. Step 2: Convert to fraction form
    153,296.25/229,975.12 = 53,429.63/x
  3. Step 3: Cross multiply
    153,296.25x = 229,975.12 × 53,429.63
  4. Step 4: Simplify right side
    153,296.25x = 12,287,484,637.99
  5. Step 5: Solve for x
    x = 12,287,484,637.99/153,296.25
  6. Step 6: Final answer
    x = 80,155.16

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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.