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Finding the Fourth Proportional to 152,369.10, 210,253.32 and 84,384.25

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Solution

The fourth proportional to 152,369.10, 210,253.32 and 84,384.25 is: 116,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,369.10 : 210,253.32 = 84,384.25 : x
  2. Step 2: Convert to fraction form
    152,369.10/210,253.32 = 84,384.25/x
  3. Step 3: Cross multiply
    152,369.10x = 210,253.32 × 84,384.25
  4. Step 4: Simplify right side
    152,369.10x = 17,742,068,192.58
  5. Step 5: Solve for x
    x = 17,742,068,192.58/152,369.10
  6. Step 6: Final answer
    x = 116,441.38

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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.