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Finding the Fourth Proportional to 320,792.95, 442,804.88 and 184,881.16

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Solution

The fourth proportional to 320,792.95, 442,804.88 and 184,881.16 is: 255,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,792.95 : 442,804.88 = 184,881.16 : x
  2. Step 2: Convert to fraction form
    320,792.95/442,804.88 = 184,881.16/x
  3. Step 3: Cross multiply
    320,792.95x = 442,804.88 × 184,881.16
  4. Step 4: Simplify right side
    320,792.95x = 81,866,279,868.06
  5. Step 5: Solve for x
    x = 81,866,279,868.06/320,792.95
  6. Step 6: Final answer
    x = 255,199.75

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Why These Related Problems?

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