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Finding the Fourth Proportional to 102,364.19, 141,293 and 64,663.55

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Solution

The fourth proportional to 102,364.19, 141,293 and 64,663.55 is: 89,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.19 : 141,293 = 64,663.55 : x
  2. Step 2: Convert to fraction form
    102,364.19/141,293 = 64,663.55/x
  3. Step 3: Cross multiply
    102,364.19x = 141,293 × 64,663.55
  4. Step 4: Simplify right side
    102,364.19x = 9,136,506,970.15
  5. Step 5: Solve for x
    x = 9,136,506,970.15/102,364.19
  6. Step 6: Final answer
    x = 89,254.91

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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.