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Finding the Fourth Proportional to 178,155, 245,846.70 and 106,574.58

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Solution

The fourth proportional to 178,155, 245,846.70 and 106,574.58 is: 147,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,155 : 245,846.70 = 106,574.58 : x
  2. Step 2: Convert to fraction form
    178,155/245,846.70 = 106,574.58/x
  3. Step 3: Cross multiply
    178,155x = 245,846.70 × 106,574.58
  4. Step 4: Simplify right side
    178,155x = 26,201,008,796.89
  5. Step 5: Solve for x
    x = 26,201,008,796.89/178,155
  6. Step 6: Final answer
    x = 147,068.61

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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.