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Finding the Fourth Proportional to 165,416.72, 228,274.44 and 89,966.48

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Solution

The fourth proportional to 165,416.72, 228,274.44 and 89,966.48 is: 124,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,416.72 : 228,274.44 = 89,966.48 : x
  2. Step 2: Convert to fraction form
    165,416.72/228,274.44 = 89,966.48/x
  3. Step 3: Cross multiply
    165,416.72x = 228,274.44 × 89,966.48
  4. Step 4: Simplify right side
    165,416.72x = 20,537,047,840.77
  5. Step 5: Solve for x
    x = 20,537,047,840.77/165,416.72
  6. Step 6: Final answer
    x = 124,153.40

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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.