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Finding the Fourth Proportional to 102,356.66, 153,462.30 and 39,123.51

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Solution

The fourth proportional to 102,356.66, 153,462.30 and 39,123.51 is: 58,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,356.66 : 153,462.30 = 39,123.51 : x
  2. Step 2: Convert to fraction form
    102,356.66/153,462.30 = 39,123.51/x
  3. Step 3: Cross multiply
    102,356.66x = 153,462.30 × 39,123.51
  4. Step 4: Simplify right side
    102,356.66x = 6,003,983,106.48
  5. Step 5: Solve for x
    x = 6,003,983,106.48/102,356.66
  6. Step 6: Final answer
    x = 58,657.47

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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.