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Finding the Fourth Proportional to 152,477.65, 210,420.39 and 84,495.77

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Solution

The fourth proportional to 152,477.65, 210,420.39 and 84,495.77 is: 116,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,477.65 : 210,420.39 = 84,495.77 : x
  2. Step 2: Convert to fraction form
    152,477.65/210,420.39 = 84,495.77/x
  3. Step 3: Cross multiply
    152,477.65x = 210,420.39 × 84,495.77
  4. Step 4: Simplify right side
    152,477.65x = 17,779,631,824.65
  5. Step 5: Solve for x
    x = 17,779,631,824.65/152,477.65
  6. Step 6: Final answer
    x = 116,604.84

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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.