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Finding the Fourth Proportional to 155,582, 233,407.56 and 57,086

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Solution

The fourth proportional to 155,582, 233,407.56 and 57,086 is: 85,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,582 : 233,407.56 = 57,086 : x
  2. Step 2: Convert to fraction form
    155,582/233,407.56 = 57,086/x
  3. Step 3: Cross multiply
    155,582x = 233,407.56 × 57,086
  4. Step 4: Simplify right side
    155,582x = 13,324,303,970.16
  5. Step 5: Solve for x
    x = 13,324,303,970.16/155,582
  6. Step 6: Final answer
    x = 85,641.68

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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.