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Finding the Fourth Proportional to 102,031.84, 152,276.19 and 99,374.63

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Solution

The fourth proportional to 102,031.84, 152,276.19 and 99,374.63 is: 148,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031.84 : 152,276.19 = 99,374.63 : x
  2. Step 2: Convert to fraction form
    102,031.84/152,276.19 = 99,374.63/x
  3. Step 3: Cross multiply
    102,031.84x = 152,276.19 × 99,374.63
  4. Step 4: Simplify right side
    102,031.84x = 15,132,390,039.06
  5. Step 5: Solve for x
    x = 15,132,390,039.06/102,031.84
  6. Step 6: Final answer
    x = 148,310.48

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.