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Finding the Fourth Proportional to 92,160, 127,180.80 and 52,416

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Solution

The fourth proportional to 92,160, 127,180.80 and 52,416 is: 72,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,160 : 127,180.80 = 52,416 : x
  2. Step 2: Convert to fraction form
    92,160/127,180.80 = 52,416/x
  3. Step 3: Cross multiply
    92,160x = 127,180.80 × 52,416
  4. Step 4: Simplify right side
    92,160x = 6,666,308,812.80
  5. Step 5: Solve for x
    x = 6,666,308,812.80/92,160
  6. Step 6: Final answer
    x = 72,334.08

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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.