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Finding the Fourth Proportional to 152,203.41, 210,026.41 and 103,045.04

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Solution

The fourth proportional to 152,203.41, 210,026.41 and 103,045.04 is: 142,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,203.41 : 210,026.41 = 103,045.04 : x
  2. Step 2: Convert to fraction form
    152,203.41/210,026.41 = 103,045.04/x
  3. Step 3: Cross multiply
    152,203.41x = 210,026.41 × 103,045.04
  4. Step 4: Simplify right side
    152,203.41x = 21,642,178,511.76
  5. Step 5: Solve for x
    x = 21,642,178,511.76/152,203.41
  6. Step 6: Final answer
    x = 142,192.47

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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.