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Finding the Fourth Proportional to 155,714.28, 214,885.72 and 84,094.32

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Solution

The fourth proportional to 155,714.28, 214,885.72 and 84,094.32 is: 116,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,714.28 : 214,885.72 = 84,094.32 : x
  2. Step 2: Convert to fraction form
    155,714.28/214,885.72 = 84,094.32/x
  3. Step 3: Cross multiply
    155,714.28x = 214,885.72 × 84,094.32
  4. Step 4: Simplify right side
    155,714.28x = 18,070,668,501.11
  5. Step 5: Solve for x
    x = 18,070,668,501.11/155,714.28
  6. Step 6: Final answer
    x = 116,050.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.