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Finding the Fourth Proportional to 292,153.65, 438,186.51 and 92,448.06

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Solution

The fourth proportional to 292,153.65, 438,186.51 and 92,448.06 is: 138,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,153.65 : 438,186.51 = 92,448.06 : x
  2. Step 2: Convert to fraction form
    292,153.65/438,186.51 = 92,448.06/x
  3. Step 3: Cross multiply
    292,153.65x = 438,186.51 × 92,448.06
  4. Step 4: Simplify right side
    292,153.65x = 40,509,492,767.67
  5. Step 5: Solve for x
    x = 40,509,492,767.67/292,153.65
  6. Step 6: Final answer
    x = 138,658.18

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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.