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Finding the Fourth Proportional to 183,411.84, 253,099.44 and 102,848.16

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Solution

The fourth proportional to 183,411.84, 253,099.44 and 102,848.16 is: 141,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,411.84 : 253,099.44 = 102,848.16 : x
  2. Step 2: Convert to fraction form
    183,411.84/253,099.44 = 102,848.16/x
  3. Step 3: Cross multiply
    183,411.84x = 253,099.44 × 102,848.16
  4. Step 4: Simplify right side
    183,411.84x = 26,030,811,701.03
  5. Step 5: Solve for x
    x = 26,030,811,701.03/183,411.84
  6. Step 6: Final answer
    x = 141,925.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.