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Finding the Fourth Proportional to 105,186.16, 157,543.89 and 48,942

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Solution

The fourth proportional to 105,186.16, 157,543.89 and 48,942 is: 73,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,186.16 : 157,543.89 = 48,942 : x
  2. Step 2: Convert to fraction form
    105,186.16/157,543.89 = 48,942/x
  3. Step 3: Cross multiply
    105,186.16x = 157,543.89 × 48,942
  4. Step 4: Simplify right side
    105,186.16x = 7,710,513,064.38
  5. Step 5: Solve for x
    x = 7,710,513,064.38/105,186.16
  6. Step 6: Final answer
    x = 73,303.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.