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Finding the Fourth Proportional to 214,886.77, 296,545.51 and 134,360.98

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Solution

The fourth proportional to 214,886.77, 296,545.51 and 134,360.98 is: 185,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,886.77 : 296,545.51 = 134,360.98 : x
  2. Step 2: Convert to fraction form
    214,886.77/296,545.51 = 134,360.98/x
  3. Step 3: Cross multiply
    214,886.77x = 296,545.51 × 134,360.98
  4. Step 4: Simplify right side
    214,886.77x = 39,844,144,009.01
  5. Step 5: Solve for x
    x = 39,844,144,009.01/214,886.77
  6. Step 6: Final answer
    x = 185,419.25

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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.