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Finding the Fourth Proportional to 122,547.80, 183,821.70 and 110,106.20

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Solution

The fourth proportional to 122,547.80, 183,821.70 and 110,106.20 is: 165,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,547.80 : 183,821.70 = 110,106.20 : x
  2. Step 2: Convert to fraction form
    122,547.80/183,821.70 = 110,106.20/x
  3. Step 3: Cross multiply
    122,547.80x = 183,821.70 × 110,106.20
  4. Step 4: Simplify right side
    122,547.80x = 20,239,908,864.54
  5. Step 5: Solve for x
    x = 20,239,908,864.54/122,547.80
  6. Step 6: Final answer
    x = 165,159.30

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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.