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Finding the Fourth Proportional to 164,012.80, 246,076.80 and 70,547.20

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Solution

The fourth proportional to 164,012.80, 246,076.80 and 70,547.20 is: 105,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,012.80 : 246,076.80 = 70,547.20 : x
  2. Step 2: Convert to fraction form
    164,012.80/246,076.80 = 70,547.20/x
  3. Step 3: Cross multiply
    164,012.80x = 246,076.80 × 70,547.20
  4. Step 4: Simplify right side
    164,012.80x = 17,360,029,224.96
  5. Step 5: Solve for x
    x = 17,360,029,224.96/164,012.80
  6. Step 6: Final answer
    x = 105,845.58

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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.