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Finding the Fourth Proportional to 157,152.54, 216,875.14 and 85,537.20

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Solution

The fourth proportional to 157,152.54, 216,875.14 and 85,537.20 is: 118,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,152.54 : 216,875.14 = 85,537.20 : x
  2. Step 2: Convert to fraction form
    157,152.54/216,875.14 = 85,537.20/x
  3. Step 3: Cross multiply
    157,152.54x = 216,875.14 × 85,537.20
  4. Step 4: Simplify right side
    157,152.54x = 18,550,892,225.21
  5. Step 5: Solve for x
    x = 18,550,892,225.21/157,152.54
  6. Step 6: Final answer
    x = 118,043.86

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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.