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Finding the Fourth Proportional to 214,807, 296,425.36 and 119,319.76

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Solution

The fourth proportional to 214,807, 296,425.36 and 119,319.76 is: 164,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,807 : 296,425.36 = 119,319.76 : x
  2. Step 2: Convert to fraction form
    214,807/296,425.36 = 119,319.76/x
  3. Step 3: Cross multiply
    214,807x = 296,425.36 × 119,319.76
  4. Step 4: Simplify right side
    214,807x = 35,369,402,813.11
  5. Step 5: Solve for x
    x = 35,369,402,813.11/214,807
  6. Step 6: Final answer
    x = 164,656.66

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1.5x scale

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.