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Finding the Fourth Proportional to 113,886.88, 170,831.28 and 105,316

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Solution

The fourth proportional to 113,886.88, 170,831.28 and 105,316 is: 157,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886.88 : 170,831.28 = 105,316 : x
  2. Step 2: Convert to fraction form
    113,886.88/170,831.28 = 105,316/x
  3. Step 3: Cross multiply
    113,886.88x = 170,831.28 × 105,316
  4. Step 4: Simplify right side
    113,886.88x = 17,991,267,084.48
  5. Step 5: Solve for x
    x = 17,991,267,084.48/113,886.88
  6. Step 6: Final answer
    x = 157,974.89

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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.