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Finding the Fourth Proportional to 152,653.19, 210,733.73 and 101,750.76

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Solution

The fourth proportional to 152,653.19, 210,733.73 and 101,750.76 is: 140,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,653.19 : 210,733.73 = 101,750.76 : x
  2. Step 2: Convert to fraction form
    152,653.19/210,733.73 = 101,750.76/x
  3. Step 3: Cross multiply
    152,653.19x = 210,733.73 × 101,750.76
  4. Step 4: Simplify right side
    152,653.19x = 21,442,316,676.38
  5. Step 5: Solve for x
    x = 21,442,316,676.38/152,653.19
  6. Step 6: Final answer
    x = 140,464.26

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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.