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Finding the Fourth Proportional to 153,137.34, 229,128.66 and 137,598.30

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Solution

The fourth proportional to 153,137.34, 229,128.66 and 137,598.30 is: 205,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,137.34 : 229,128.66 = 137,598.30 : x
  2. Step 2: Convert to fraction form
    153,137.34/229,128.66 = 137,598.30/x
  3. Step 3: Cross multiply
    153,137.34x = 229,128.66 × 137,598.30
  4. Step 4: Simplify right side
    153,137.34x = 31,527,714,097.28
  5. Step 5: Solve for x
    x = 31,527,714,097.28/153,137.34
  6. Step 6: Final answer
    x = 205,878.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.