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Finding the Fourth Proportional to 152,056.68, 209,792.13 and 106,115.10

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Solution

The fourth proportional to 152,056.68, 209,792.13 and 106,115.10 is: 146,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,056.68 : 209,792.13 = 106,115.10 : x
  2. Step 2: Convert to fraction form
    152,056.68/209,792.13 = 106,115.10/x
  3. Step 3: Cross multiply
    152,056.68x = 209,792.13 × 106,115.10
  4. Step 4: Simplify right side
    152,056.68x = 22,262,111,669.51
  5. Step 5: Solve for x
    x = 22,262,111,669.51/152,056.68
  6. Step 6: Final answer
    x = 146,406.67

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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.