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Finding the Fourth Proportional to 156,714.80, 216,265.74 and 85,094.24

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Solution

The fourth proportional to 156,714.80, 216,265.74 and 85,094.24 is: 117,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,714.80 : 216,265.74 = 85,094.24 : x
  2. Step 2: Convert to fraction form
    156,714.80/216,265.74 = 85,094.24/x
  3. Step 3: Cross multiply
    156,714.80x = 216,265.74 × 85,094.24
  4. Step 4: Simplify right side
    156,714.80x = 18,402,968,783.34
  5. Step 5: Solve for x
    x = 18,402,968,783.34/156,714.80
  6. Step 6: Final answer
    x = 117,429.68

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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.