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Finding the Fourth Proportional to 268,547.58, 370,588.27 and 147,688.87

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Solution

The fourth proportional to 268,547.58, 370,588.27 and 147,688.87 is: 203,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,547.58 : 370,588.27 = 147,688.87 : x
  2. Step 2: Convert to fraction form
    268,547.58/370,588.27 = 147,688.87/x
  3. Step 3: Cross multiply
    268,547.58x = 370,588.27 × 147,688.87
  4. Step 4: Simplify right side
    268,547.58x = 54,731,761,166.64
  5. Step 5: Solve for x
    x = 54,731,761,166.64/268,547.58
  6. Step 6: Final answer
    x = 203,806.57

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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.