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Finding the Fourth Proportional to 227,686.46, 314,409.53 and 141,792.93

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Solution

The fourth proportional to 227,686.46, 314,409.53 and 141,792.93 is: 195,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,686.46 : 314,409.53 = 141,792.93 : x
  2. Step 2: Convert to fraction form
    227,686.46/314,409.53 = 141,792.93/x
  3. Step 3: Cross multiply
    227,686.46x = 314,409.53 × 141,792.93
  4. Step 4: Simplify right side
    227,686.46x = 44,581,048,833.11
  5. Step 5: Solve for x
    x = 44,581,048,833.11/227,686.46
  6. Step 6: Final answer
    x = 195,800.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.