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Finding the Fourth Proportional to 214,437.16, 295,925.70 and 118,946.80

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Solution

The fourth proportional to 214,437.16, 295,925.70 and 118,946.80 is: 164,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,437.16 : 295,925.70 = 118,946.80 : x
  2. Step 2: Convert to fraction form
    214,437.16/295,925.70 = 118,946.80/x
  3. Step 3: Cross multiply
    214,437.16x = 295,925.70 × 118,946.80
  4. Step 4: Simplify right side
    214,437.16x = 35,199,415,052.76
  5. Step 5: Solve for x
    x = 35,199,415,052.76/214,437.16
  6. Step 6: Final answer
    x = 164,147.93

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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.