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Finding the Fourth Proportional to 164,883.60, 246,547.80 and 122,893.20

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Solution

The fourth proportional to 164,883.60, 246,547.80 and 122,893.20 is: 183,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,883.60 : 246,547.80 = 122,893.20 : x
  2. Step 2: Convert to fraction form
    164,883.60/246,547.80 = 122,893.20/x
  3. Step 3: Cross multiply
    164,883.60x = 246,547.80 × 122,893.20
  4. Step 4: Simplify right side
    164,883.60x = 30,299,048,094.96
  5. Step 5: Solve for x
    x = 30,299,048,094.96/164,883.60
  6. Step 6: Final answer
    x = 183,760.23

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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.