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Finding the Fourth Proportional to 292,075.84, 438,113.76 and 114,666.40

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Solution

The fourth proportional to 292,075.84, 438,113.76 and 114,666.40 is: 171,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,075.84 : 438,113.76 = 114,666.40 : x
  2. Step 2: Convert to fraction form
    292,075.84/438,113.76 = 114,666.40/x
  3. Step 3: Cross multiply
    292,075.84x = 438,113.76 × 114,666.40
  4. Step 4: Simplify right side
    292,075.84x = 50,236,927,649.66
  5. Step 5: Solve for x
    x = 50,236,927,649.66/292,075.84
  6. Step 6: Final answer
    x = 171,999.60

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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.