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Finding the Fourth Proportional to 212,038.29, 292,681.04 and 135,762.84

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Solution

The fourth proportional to 212,038.29, 292,681.04 and 135,762.84 is: 187,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,038.29 : 292,681.04 = 135,762.84 : x
  2. Step 2: Convert to fraction form
    212,038.29/292,681.04 = 135,762.84/x
  3. Step 3: Cross multiply
    212,038.29x = 292,681.04 × 135,762.84
  4. Step 4: Simplify right side
    212,038.29x = 39,735,208,525.74
  5. Step 5: Solve for x
    x = 39,735,208,525.74/212,038.29
  6. Step 6: Final answer
    x = 187,396.38

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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.