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Finding the Fourth Proportional to 110,106.40, 152,009.88 and 72,490

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Solution

The fourth proportional to 110,106.40, 152,009.88 and 72,490 is: 100,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,106.40 : 152,009.88 = 72,490 : x
  2. Step 2: Convert to fraction form
    110,106.40/152,009.88 = 72,490/x
  3. Step 3: Cross multiply
    110,106.40x = 152,009.88 × 72,490
  4. Step 4: Simplify right side
    110,106.40x = 11,019,196,201.20
  5. Step 5: Solve for x
    x = 11,019,196,201.20/110,106.40
  6. Step 6: Final answer
    x = 100,077.71

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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.