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Finding the Fourth Proportional to 151,985.16, 227,978.28 and 46,803.60

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Solution

The fourth proportional to 151,985.16, 227,978.28 and 46,803.60 is: 70,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,985.16 : 227,978.28 = 46,803.60 : x
  2. Step 2: Convert to fraction form
    151,985.16/227,978.28 = 46,803.60/x
  3. Step 3: Cross multiply
    151,985.16x = 227,978.28 × 46,803.60
  4. Step 4: Simplify right side
    151,985.16x = 10,670,204,225.81
  5. Step 5: Solve for x
    x = 10,670,204,225.81/151,985.16
  6. Step 6: Final answer
    x = 70,205.57

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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.