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Finding the Fourth Proportional to 153,782.24, 212,219.52 and 86,714.24

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Solution

The fourth proportional to 153,782.24, 212,219.52 and 86,714.24 is: 119,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,782.24 : 212,219.52 = 86,714.24 : x
  2. Step 2: Convert to fraction form
    153,782.24/212,219.52 = 86,714.24/x
  3. Step 3: Cross multiply
    153,782.24x = 212,219.52 × 86,714.24
  4. Step 4: Simplify right side
    153,782.24x = 18,402,454,389.96
  5. Step 5: Solve for x
    x = 18,402,454,389.96/153,782.24
  6. Step 6: Final answer
    x = 119,665.67

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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.