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Finding the Fourth Proportional to 213,715.87, 294,929.10 and 118,225.98

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Solution

The fourth proportional to 213,715.87, 294,929.10 and 118,225.98 is: 163,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,715.87 : 294,929.10 = 118,225.98 : x
  2. Step 2: Convert to fraction form
    213,715.87/294,929.10 = 118,225.98/x
  3. Step 3: Cross multiply
    213,715.87x = 294,929.10 × 118,225.98
  4. Step 4: Simplify right side
    213,715.87x = 34,868,281,878.02
  5. Step 5: Solve for x
    x = 34,868,281,878.02/213,715.87
  6. Step 6: Final answer
    x = 163,152.52

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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.