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Finding the Fourth Proportional to 155,076, 214,004.88 and 84,420

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Solution

The fourth proportional to 155,076, 214,004.88 and 84,420 is: 116,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,076 : 214,004.88 = 84,420 : x
  2. Step 2: Convert to fraction form
    155,076/214,004.88 = 84,420/x
  3. Step 3: Cross multiply
    155,076x = 214,004.88 × 84,420
  4. Step 4: Simplify right side
    155,076x = 18,066,291,969.60
  5. Step 5: Solve for x
    x = 18,066,291,969.60/155,076
  6. Step 6: Final answer
    x = 116,499.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.