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Finding the Fourth Proportional to 213,802.16, 295,053.10 and 118,317.74

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Solution

The fourth proportional to 213,802.16, 295,053.10 and 118,317.74 is: 163,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,802.16 : 295,053.10 = 118,317.74 : x
  2. Step 2: Convert to fraction form
    213,802.16/295,053.10 = 118,317.74/x
  3. Step 3: Cross multiply
    213,802.16x = 295,053.10 × 118,317.74
  4. Step 4: Simplify right side
    213,802.16x = 34,910,014,200.93
  5. Step 5: Solve for x
    x = 34,910,014,200.93/213,802.16
  6. Step 6: Final answer
    x = 163,281.86

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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.