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Finding the Fourth Proportional to 214,271.58, 295,688.79 and 129,357.66

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Solution

The fourth proportional to 214,271.58, 295,688.79 and 129,357.66 is: 178,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,271.58 : 295,688.79 = 129,357.66 : x
  2. Step 2: Convert to fraction form
    214,271.58/295,688.79 = 129,357.66/x
  3. Step 3: Cross multiply
    214,271.58x = 295,688.79 × 129,357.66
  4. Step 4: Simplify right side
    214,271.58x = 38,249,609,962.63
  5. Step 5: Solve for x
    x = 38,249,609,962.63/214,271.58
  6. Step 6: Final answer
    x = 178,509.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.