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Finding the Fourth Proportional to 249,210, 373,970.52 and 101,466

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Solution

The fourth proportional to 249,210, 373,970.52 and 101,466 is: 152,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,210 : 373,970.52 = 101,466 : x
  2. Step 2: Convert to fraction form
    249,210/373,970.52 = 101,466/x
  3. Step 3: Cross multiply
    249,210x = 373,970.52 × 101,466
  4. Step 4: Simplify right side
    249,210x = 37,945,292,782.32
  5. Step 5: Solve for x
    x = 37,945,292,782.32/249,210
  6. Step 6: Final answer
    x = 152,262.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.