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Finding the Fourth Proportional to 364,114.76, 546,054.05 and 139,463.24

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Solution

The fourth proportional to 364,114.76, 546,054.05 and 139,463.24 is: 209,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,114.76 : 546,054.05 = 139,463.24 : x
  2. Step 2: Convert to fraction form
    364,114.76/546,054.05 = 139,463.24/x
  3. Step 3: Cross multiply
    364,114.76x = 546,054.05 × 139,463.24
  4. Step 4: Simplify right side
    364,114.76x = 76,154,464,646.51
  5. Step 5: Solve for x
    x = 76,154,464,646.51/364,114.76
  6. Step 6: Final answer
    x = 209,149.63

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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.