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Finding the Fourth Proportional to 219,497.24, 302,907.12 and 118,895.24

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Solution

The fourth proportional to 219,497.24, 302,907.12 and 118,895.24 is: 164,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,497.24 : 302,907.12 = 118,895.24 : x
  2. Step 2: Convert to fraction form
    219,497.24/302,907.12 = 118,895.24/x
  3. Step 3: Cross multiply
    219,497.24x = 302,907.12 × 118,895.24
  4. Step 4: Simplify right side
    219,497.24x = 36,014,214,730.11
  5. Step 5: Solve for x
    x = 36,014,214,730.11/219,497.24
  6. Step 6: Final answer
    x = 164,075.93

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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.