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Finding the Fourth Proportional to 102,595.34, 153,941.74 and 71,053.94

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Solution

The fourth proportional to 102,595.34, 153,941.74 and 71,053.94 is: 106,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,595.34 : 153,941.74 = 71,053.94 : x
  2. Step 2: Convert to fraction form
    102,595.34/153,941.74 = 71,053.94/x
  3. Step 3: Cross multiply
    102,595.34x = 153,941.74 × 71,053.94
  4. Step 4: Simplify right side
    102,595.34x = 10,938,166,210.11
  5. Step 5: Solve for x
    x = 10,938,166,210.11/102,595.34
  6. Step 6: Final answer
    x = 106,614.65

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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.