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Finding the Fourth Proportional to 113,886, 170,678.88 and 99,024.12

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Solution

The fourth proportional to 113,886, 170,678.88 and 99,024.12 is: 148,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,886 : 170,678.88 = 99,024.12 : x
  2. Step 2: Convert to fraction form
    113,886/170,678.88 = 99,024.12/x
  3. Step 3: Cross multiply
    113,886x = 170,678.88 × 99,024.12
  4. Step 4: Simplify right side
    113,886x = 16,901,325,894.59
  5. Step 5: Solve for x
    x = 16,901,325,894.59/113,886
  6. Step 6: Final answer
    x = 148,405.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.