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Finding the Fourth Proportional to 102,513.60, 153,424.80 and 94,219.20

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Solution

The fourth proportional to 102,513.60, 153,424.80 and 94,219.20 is: 141,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513.60 : 153,424.80 = 94,219.20 : x
  2. Step 2: Convert to fraction form
    102,513.60/153,424.80 = 94,219.20/x
  3. Step 3: Cross multiply
    102,513.60x = 153,424.80 × 94,219.20
  4. Step 4: Simplify right side
    102,513.60x = 14,455,561,916.16
  5. Step 5: Solve for x
    x = 14,455,561,916.16/102,513.60
  6. Step 6: Final answer
    x = 141,011.16

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Why These Related Problems?

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