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Finding the Fourth Proportional to 245,776.96, 368,665.10 and 77,312.08

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Solution

The fourth proportional to 245,776.96, 368,665.10 and 77,312.08 is: 115,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,776.96 : 368,665.10 = 77,312.08 : x
  2. Step 2: Convert to fraction form
    245,776.96/368,665.10 = 77,312.08/x
  3. Step 3: Cross multiply
    245,776.96x = 368,665.10 × 77,312.08
  4. Step 4: Simplify right side
    245,776.96x = 28,502,265,704.41
  5. Step 5: Solve for x
    x = 28,502,265,704.41/245,776.96
  6. Step 6: Final answer
    x = 115,968.01

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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.