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Finding the Fourth Proportional to 277,445.76, 382,873.92 and 150,123.60

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Solution

The fourth proportional to 277,445.76, 382,873.92 and 150,123.60 is: 207,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,445.76 : 382,873.92 = 150,123.60 : x
  2. Step 2: Convert to fraction form
    277,445.76/382,873.92 = 150,123.60/x
  3. Step 3: Cross multiply
    277,445.76x = 382,873.92 × 150,123.60
  4. Step 4: Simplify right side
    277,445.76x = 57,478,411,216.51
  5. Step 5: Solve for x
    x = 57,478,411,216.51/277,445.76
  6. Step 6: Final answer
    x = 207,169.90

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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.