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Finding the Fourth Proportional to 105,126.74, 145,093.71 and 62,688

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Solution

The fourth proportional to 105,126.74, 145,093.71 and 62,688 is: 86,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,126.74 : 145,093.71 = 62,688 : x
  2. Step 2: Convert to fraction form
    105,126.74/145,093.71 = 62,688/x
  3. Step 3: Cross multiply
    105,126.74x = 145,093.71 × 62,688
  4. Step 4: Simplify right side
    105,126.74x = 9,095,634,492.48
  5. Step 5: Solve for x
    x = 9,095,634,492.48/105,126.74
  6. Step 6: Final answer
    x = 86,520.66

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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.