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Finding the Fourth Proportional to 153,514.96, 230,303.50 and 64,768.66

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Solution

The fourth proportional to 153,514.96, 230,303.50 and 64,768.66 is: 97,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,514.96 : 230,303.50 = 64,768.66 : x
  2. Step 2: Convert to fraction form
    153,514.96/230,303.50 = 64,768.66/x
  3. Step 3: Cross multiply
    153,514.96x = 230,303.50 × 64,768.66
  4. Step 4: Simplify right side
    153,514.96x = 14,916,449,088.31
  5. Step 5: Solve for x
    x = 14,916,449,088.31/153,514.96
  6. Step 6: Final answer
    x = 97,166.09

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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.