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Finding the Fourth Proportional to 364,202.56, 546,303.88 and 114,904

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Solution

The fourth proportional to 364,202.56, 546,303.88 and 114,904 is: 172,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,202.56 : 546,303.88 = 114,904 : x
  2. Step 2: Convert to fraction form
    364,202.56/546,303.88 = 114,904/x
  3. Step 3: Cross multiply
    364,202.56x = 546,303.88 × 114,904
  4. Step 4: Simplify right side
    364,202.56x = 62,772,501,027.52
  5. Step 5: Solve for x
    x = 62,772,501,027.52/364,202.56
  6. Step 6: Final answer
    x = 172,356.01

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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.