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Finding the Fourth Proportional to 228,802.52, 343,323.44 and 166,140.24

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Solution

The fourth proportional to 228,802.52, 343,323.44 and 166,140.24 is: 249,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,802.52 : 343,323.44 = 166,140.24 : x
  2. Step 2: Convert to fraction form
    228,802.52/343,323.44 = 166,140.24/x
  3. Step 3: Cross multiply
    228,802.52x = 343,323.44 × 166,140.24
  4. Step 4: Simplify right side
    228,802.52x = 57,039,838,719.23
  5. Step 5: Solve for x
    x = 57,039,838,719.23/228,802.52
  6. Step 6: Final answer
    x = 249,297.25

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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.