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Finding the Fourth Proportional to 214,970.49, 296,792.10 and 138,516.62

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Solution

The fourth proportional to 214,970.49, 296,792.10 and 138,516.62 is: 191,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.49 : 296,792.10 = 138,516.62 : x
  2. Step 2: Convert to fraction form
    214,970.49/296,792.10 = 138,516.62/x
  3. Step 3: Cross multiply
    214,970.49x = 296,792.10 × 138,516.62
  4. Step 4: Simplify right side
    214,970.49x = 41,110,637,050.74
  5. Step 5: Solve for x
    x = 41,110,637,050.74/214,970.49
  6. Step 6: Final answer
    x = 191,238.51

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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.