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Finding the Fourth Proportional to 103,154, 154,800.16 and 37,490

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Solution

The fourth proportional to 103,154, 154,800.16 and 37,490 is: 56,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,154 : 154,800.16 = 37,490 : x
  2. Step 2: Convert to fraction form
    103,154/154,800.16 = 37,490/x
  3. Step 3: Cross multiply
    103,154x = 154,800.16 × 37,490
  4. Step 4: Simplify right side
    103,154x = 5,803,457,998.40
  5. Step 5: Solve for x
    x = 5,803,457,998.40/103,154
  6. Step 6: Final answer
    x = 56,260.14

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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.