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Finding the Fourth Proportional to 153,530.04, 230,196.64 and 106,012

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Solution

The fourth proportional to 153,530.04, 230,196.64 and 106,012 is: 158,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,530.04 : 230,196.64 = 106,012 : x
  2. Step 2: Convert to fraction form
    153,530.04/230,196.64 = 106,012/x
  3. Step 3: Cross multiply
    153,530.04x = 230,196.64 × 106,012
  4. Step 4: Simplify right side
    153,530.04x = 24,403,606,199.68
  5. Step 5: Solve for x
    x = 24,403,606,199.68/153,530.04
  6. Step 6: Final answer
    x = 158,950.04

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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.